Academic literature on the topic 'Problème de Calderon'

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Journal articles on the topic "Problème de Calderon"

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Abraham, Kweku, and Richard Nickl. "On statistical Calderón problems." Mathematical Statistics and Learning 2, no. 2 (July 16, 2020): 165–216. http://dx.doi.org/10.4171/msl/14.

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Andrieux, S., and H. D. Bui. "On some nonlinear inverse problems in elasticity." Theoretical and Applied Mechanics 38, no. 2 (2011): 125–54. http://dx.doi.org/10.2298/tam1102125a.

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In this paper, we make a review of some inverse problems in elasticity, in statics and dynamics, in acoustics, thermoelasticity and viscoelasticity. Crack inverse problems have been solved in closed form, by considering a nonlinear variational equation provided by the reciprocity gap functional. This equation involves the unknown geometry of the crack and the boundary data. It results from the symmetry lost between current fields and adjoint fields which is related to their support. The nonlinear equation is solved step by step by considering linear inverse problems. The normal to the crack plane, then the crack plane and finally the geometry of the crack, defined by the support of the crack displacement discontinuity, are determined explicitly. We also consider the problem of a volumetric defect viewed as the perturbation of a material constant in elastic solids which satisfies the nonlinear Calderon?s equation. The nonlinear problem reduces to two successive ones: a source inverse problem and a Volterra integral equation of the first kind. The first problem provides information on the inclusion geometry. The second one provides the magnitude of the perturbation. The geometry of the defect in the nonlinear case is obtained in closed form and compared to the linearized Calderon?s solution. Both geometries, in linearized and nonlinear cases, are found to be the same.
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Byun, Sun-Sig, and Jehan Oh. "Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type." Communications in Contemporary Mathematics 20, no. 08 (December 2018): 1750079. http://dx.doi.org/10.1142/s0219199717500791.

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We study an asymptotically regular problem of [Formula: see text]-Laplacian type with discontinuous nonlinearity in a nonsmooth bounded domain. A global Calderón–Zygmund estimate is established for such a nonlinear elliptic problem with nonstandard growth under the assumption that the associated nonlinearity has a more general kind of the asymptotic behavior near the infinity with respect to the gradient variable. We also address an optimal regularity requirement on the nonlinearity as well as a minimal geometric assumption on the boundary of the domain for the nonlinear Calderón–Zygmund theory in the setting of variable exponent Sobolev spaces.
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Mingione, Giuseppe. "Calderón–Zygmund estimates for measure data problems." Comptes Rendus Mathematique 344, no. 7 (April 2007): 437–42. http://dx.doi.org/10.1016/j.crma.2007.02.005.

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Rüland, Angkana, and Mikko Salo. "Quantitative Runge Approximation and Inverse Problems." International Mathematics Research Notices 2019, no. 20 (January 19, 2018): 6216–34. http://dx.doi.org/10.1093/imrn/rnx301.

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AbstractIn this short note, we provide a quantitative version of the classical Runge approximation property for second-order elliptic operators. This relies on quantitative unique continuation results and duality arguments. We show that these estimates are essentially optimal. As a model application, we provide a new proof of the result from [8], [2] on stability for the Calderón problem with local data.
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Ervedoza, S., and F. de Gournay. "Uniform stability estimates for the discrete Calderón problems." Inverse Problems 27, no. 12 (November 24, 2011): 125012. http://dx.doi.org/10.1088/0266-5611/27/12/125012.

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Baasandorj, Sumiya, Sun-Sig Byun, and Jehan Oh. "Calderón-Zygmund estimates for generalized double phase problems." Journal of Functional Analysis 279, no. 7 (October 2020): 108670. http://dx.doi.org/10.1016/j.jfa.2020.108670.

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Xiao, Gaobiao. "Applying Loop-Flower Basis Functions to Analyze Electromagnetic Scattering Problems of PEC Scatterers." International Journal of Antennas and Propagation 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/905935.

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This paper discusses the application of loop-flower basis functions for solving surface integral equations involved in electromagnetic scattering problems on perfectly electrically conducting surfaces. Flower-shaped basis functions are proposed to replace the conventional star basis functions. The flower basis functions are defined based on mesh nodes instead of surface triangles. It is shown that the loop-flower basis functions not only can be used to handle the electromagnetic scattering problems at very low frequencies, but also can be directly used to implement Calderon preconditioners for EFIEs.
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Journé, Jean-Lin. "Two problems of Calderón-Zygmund theory on product-spaces." Annales de l’institut Fourier 38, no. 1 (1988): 111–32. http://dx.doi.org/10.5802/aif.1125.

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Tzou, Leo. "The reflection principle and Calderón problems with partial data." Mathematische Annalen 369, no. 1-2 (February 27, 2017): 913–56. http://dx.doi.org/10.1007/s00208-017-1525-3.

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Dissertations / Theses on the topic "Problème de Calderon"

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Santacesaria, Matteo. "Unicité, reconstruction, stabilité pour des problèmes inverses bidimensionnels." Phd thesis, Ecole Polytechnique X, 2012. http://pastel.archives-ouvertes.fr/pastel-00759992.

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Dans cette thèse nous étudions quelques problèmes inverses de valeurs au bord en dimension deux. Les problèmes considérés sont le problème de Calderon et le problème de Gel'fand-Calderon dans le cas scalaire et multi-canal, c'est-à-dire matriciel : cela peut etre vu notamment comme une approximation non-surdéterminée du cas tridimensionnel. Nous montrons d'abord quelques résultats pour le problème de Calderon anisotrope : nous présentons une nouvelle formulation du résultat d'unicité sur le plan ainsi que le premier résultat d'unicité globale pour le cas des surfaces à bord. Après, nous démontrons une nouvelle estimation de stabilité globale pour le problème de Gel'fand-Calderon dans le cas scalaire et multi-canal. Des techniques similaires donnent aussi une procédure de reconstruction globale pour le meme problème. Nous proposons ensuite un algorithme d'approximation rapidement convergent pour le problème de Gel'fand-Calderon multi-canal : cet algorithme est principalement motivé par des résultats de la théorie de diffusion inverse multi-dimensionnelle. Comme derniers résultats nous présentons des nouvelles estimations de stabilité globale pour les deux problèmes mentionnés plus haut qui dépendent explicitement de la régularité et de l'énergie.
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COSTA, Filipe Andrade da. "O Problema de Calderón." Universidade Federal de Pernambuco, 2012. https://repositorio.ufpe.br/handle/123456789/11684.

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Submitted by Etelvina Domingos (etelvina.domingos@ufpe.br) on 2015-03-10T16:57:49Z No. of bitstreams: 2 filipe_andrade_da costa.pdf: 572238 bytes, checksum: e3bc965f8575d7925d51220ac40be73b (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5)
Made available in DSpace on 2015-03-10T16:57:49Z (GMT). No. of bitstreams: 2 filipe_andrade_da costa.pdf: 572238 bytes, checksum: e3bc965f8575d7925d51220ac40be73b (MD5) license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) Previous issue date: 2012-07-30
CNPq
Na presente dissertação, estaremos interessados em abordar algunas questões relacionadas a unicidade do problema de Calderón.
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Cekić, Mihajlo. "The Calderón problem for connections." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.

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This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is to be determined up to a unitary gauge equivalence equal to the identity at the boundary. In our first approach to the problem, we restrict our attention to conformally transversally anisotropic (cylindrical) manifolds $M \Subset \mathbb{R}\times M_0$. Our strategy can be described as follows: we construct the special Complex Geometric Optics solutions oscillating in the vertical direction, that concentrate near geodesics and use their density in an integral identity to reduce the problem to a suitable $X$-ray transform on $M_0$. The construction is based on our proof of existence of Gaussian Beams on $M_0$, which are a family of smooth approximate solutions to $d_A^*d_Au = 0$ depending on a parameter $\tau \in \mathbb{R}$, bounded in $L^2$ norm and concentrating in measure along geodesics when $\tau \to \infty$, whereas the small remainder (that makes the solution exact) can be shown to exist by using suitable Carleman estimates. In the case $m = 1$, we prove the recovery of the connection given the injectivity of the $X$-ray transform on $0$ and $1$-forms on $M_0$. For $m > 1$ and $M_0$ simple we reduce the problem to a certain two dimensional $\textit{new non-abelian ray transform}$. In our second approach, we assume that the connection $A$ is a $\textit{Yang-Mills connection}$ and no additional assumption on $M$. We construct a global gauge for $A$ (possibly singular at some points) that ties well with the DN map and in which the Yang-Mills equations become elliptic. By using the unique continuation property for elliptic systems and the fact that the singular set is suitably small, we are able to propagate the gauges globally. For the case $m = 1$ we are able to reconstruct the connection, whereas for $m > 1$ we are forced to make the technical assumption that $(M, g)$ is analytic in order to prove the recovery. Finally, in both approaches we are using the vital fact that is proved in this work: $\Lambda_A$ is a pseudodifferential operator of order $1$ acting on sections of $E|_{\partial M}$, whose full symbol determines the full Taylor expansion of $A$ at the boundary.
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Lytle, George H. "APPROXIMATIONS IN RECONSTRUCTING DISCONTINUOUS CONDUCTIVITIES IN THE CALDERÓN PROBLEM." UKnowledge, 2019. https://uknowledge.uky.edu/math_etds/61.

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In 2014, Astala, Päivärinta, Reyes, and Siltanen conducted numerical experiments reconstructing a piecewise continuous conductivity. The algorithm of the shortcut method is based on the reconstruction algorithm due to Nachman, which assumes a priori that the conductivity is Hölder continuous. In this dissertation, we prove that, in the presence of infinite-precision data, this shortcut procedure accurately recovers the scattering transform of an essentially bounded conductivity, provided it is constant in a neighborhood of the boundary. In this setting, Nachman’s integral equations have a meaning and are still uniquely solvable. To regularize the reconstruction, Astala et al. employ a high frequency cutoff of the scattering transform. We show that such scattering transforms correspond to Beltrami coefficients that are not compactly supported, but exhibit certain decay at infinity. For this class of Beltrami coefficients, we establish that the complex geometric optics solutions to the Beltrami equation exist and exhibit the same subexponential decay as described in the 2006 work of Astala and Päivärinta. This is a first step toward extending the inverse scattering map of Astala and Päivärinta to non-compactly supported conductivities.
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Darbas, Marion. "Préconditionneurs analytiques de type Calderon pour les formulations intégrales des problèmes de diffraction d'ondes." Toulouse, INSA, 2004. http://www.theses.fr/2004ISAT0028.

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Cette thèse est un ensemble de contributions visant à développer des procédés rapides de résolution de problèmes de diffraction d'ondes acoustiques ou électromagnétiques en régime harmonique. La technique essentielle consiste à coupler l'approche par équations intégrales à la méthode des conditions de radiation sur le bord (On Surface Radiation Condition ou OSRC) donnant des approximations microlocales de l'opérateur Dirichlet-Neumann en régime de haute-fréquence. Plus précisément, les OSRCs sont utilisées comme des accélérateurs de convergence des algorithmes itératifs considérés pour la résolution des formulations intégrales. Les études se répartissent en deux axes principaux: les surfaces ouvertes et les surfaces fermées. Dans le cas des surfaces ouvertes, les OSRCs constituent de nouvelles classes de préconditionneurs analytiques de type Calderon efficaces. Dans le cas des surfaces fermées, les OSRCs jouent le rôle d'opérateurs régularisants et conduisent à la construction d'équations intégrales de type Fredholm de seconde espèce bien adaptées à une résolution itérative. La construction de ces formulations est basée sur l'obtention d'un bon regroupement des valeurs spectrales des opérateurs associés. Des tests numériques illustrent la théorie et montrent une convergence rapide des solveurs itératifs indépendante du raffinement de maillage et de la montée en fréquence pour divers obstacles en dimension deux et trois
This thesis deals with fast numerical processes to solve scattering problems of acoustic or electromagnetic waves. The essential used technique consists in coupling the integral equations method with the On-Surface Radiation Conditions (OSRC) method deriving microlocal approximations of the Dirichlet-Neumann operator in the high frequency regime. More particularly, we use OSRC to accelerate the convergence of the iterative methods considered to solve integral equations. We develop two studies : open surfaces and closed surfaces. In the case of open surfaces, OSRC represent some efficient analytic Calderon-type preconditioners. In the case of closed surfaces, OSRC designate some regularizing operators and lead to the construction of second-kind Fredholm integral equations. These equations are well-adapted to an iterative solution. Their construction is based on obtaining an excellent eigenvalues clustering of the associated operators. Two-dimensional and three-dimensional numerical tests confirm the theoritical analysis. They show that good convergence rates of the iterative solvers are attained. The convergence is independent of the mesh refinement and of the wave number
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Niino, Kazuki. "On fast methods for periodic wave scattering problems with the Calderón preconditioning and the Müller formulation." 京都大学 (Kyoto University), 2013. http://hdl.handle.net/2433/174843.

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Schulze, Bert-Wolfgang, Boris Sternin, and Victor Shatalov. "On general boundary value problems for elliptic equations." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2513/.

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We construct a theory of general boundary value problems for differential operators whose symbols do not necessarily satisfy the Atiyah-Bott condition [3] of vanishing of the corresponding obstruction. A condition for these problems to be Fredholm is introduced and the corresponding finiteness theorems are proved.
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Laborda, Ramos Camilo Eduardo. "Identificación de un cuerpo inmerso en un fluido usando el método level set." Tesis, Universidad de Chile, 2014. http://www.repositorio.uchile.cl/handle/2250/116854.

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Ingeniero Civil Matemático
El objetivo central de esta memoria es estudiar un problema inverso geométrico en mecánica de fluidos y realizar un procedimiento de reconstrucción numérica que permita recuperar distintos cuerpos rígidos inmersos en un fluido viscoso, siendo de especial interés el caso de cuerpos no convexos. Para llevar a cabo esta reconstrucción numérica se utiliza el llamado método level set. El método level set fue introducido por S. Osher y J. A. Sethian como un método simple y versátil para calcular y analizar el movimiento de una interface Γ bajo un campo de velocidades V, en dos y tres dimensiones, donde Γ es la frontera de una región Ω. Por otra parte en los problemas inversos geométricos, es decir, problemas donde la incógnita es una forma geométrica, el enfoque estándar para la solución de estos consiste en parametrizar la forma geométrica y aplicar métodos de regularización directamente a la parametrización. Este enfoque sufre de la limitación que para obtener aproximaciones convergentes se tiene que tener un conocimiento a priori de la estructura y topología de la forma geométrica buscada. Por esta razón, recientemente se han considerado enfoques alternativos para la solución de problemas de reconstrucción de formas geométricas, entre ellos el método level set, el cual fue utilizado inicialmente en el procesamiento de imágenes digitales. La presente memoria esta estructurada de la siguiente manera. En el Capítulo 1 se realiza una introducción al trabajo realizado. En el Capítulo 2 se hace una introducción a los problemas inversos, se define el problema inverso geométrico de detección de obstáculos dentro de un fluido y se muestran los resultados de identificabilidad y estabilidad para este problema. En el Capítulo 3 se estudia el método de los elementos finitos y la resolución del problema de Stokes usando dicho método, en donde se muestran el algoritmo de Uzawa y el algoritmo numérico para Stokes usado en esta memoria. En el Capítulo 4 se presenta el método de diferenciación con respecto al dominio, el cual resulta fundamental para posteriormente realizar el cálculo de la primera derivada local del funcional de costo asociado al problema inverso geométrico en estudio. En el Capítulo 5 se presenta el método level set, estudiando los movimientos por curvatura media y en dirección normal, la ecuación de reinicialización y la extensión del campo de velocidades. Además, se muestra su aplicación a la optimización de formas y se utiliza la diferenciación con respecto al dominio para deducir la expansión de primer orden del funcional de costo asociado al problema. En el Capítulo 6 se muestran los principales resultados numéricos obtenidos al usar el método level set, recuperando diferentes obstáculos (incluyendo algunos de geometría no convexa), para lo cual se ha utilizado el programa FreeFem. Finalmente, se presentan las principales conclusiones obtenidas de este trabajo de título.
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Hong, Guixiang. "Quelques problèmes en analyse harmonique non commutative." Phd thesis, Université de Franche-Comté, 2012. http://tel.archives-ouvertes.fr/tel-00979472.

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Cette thèse présente quelques résultats de la théorie des probabilités quantiques et de l'analyse harmonique non commutative. Elle est constituée de trois parties. La première partie démontre l'analogue non commutatif de l'inégalité de John-Nirenberg et la décomposition atomique pour les martingales non commutatives. Ces résultats étendent et améliorent ceux qui existent déjà, et correspondent exactement à ceux que l'on connaît dans le cas classique. La deuxième partie est consacrée à l'étude des espaces de Hardy à valeurs opérateurs via la méthode d'ondelettes. Il est montré que les espaces de Hardy définis par ondelettes coïncident avec ceux définis par les fonctions carrées de Littlewood-Paley et Lusin. Cette approche est similaire à celle du cas des martingales non commutatives, mais l'utilisation des outils de martingales en analyse harmonique permet une démonstration plus rapide. Dans la troisième partie, nous nous tournons vers des applications de la théorie bien établie des espaces de Hardy, c'est-à-dire des opérateurs de Calderón-Zygmund (OCZ pour abréviation) associés à des noyaux à valeurs matricielles. On obtient des estimations de type faible (1, 1) pour des OCZ dyadiques parfaites et des shifts de Haar annulateurs associés à des noyaux non commutatifs, ainsi que des estimations de type H1 → L1 pour des OCZ arbitaires d'après une décomposition d'une fonction en ligne/colonne. En conjonction avec L∞ → BMO, nous établissons certaines estimations de type Lp. Cette approche s'applique aussi à des paraproduits et des transformées de martingales avec des symboles et coefficients non commutatifs respectivement.
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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission problem. This method uses a boundary integral operator, the rotation operator, which factorises the double layer potential operator. We prove spectral estimates for this rotation operator in finite energy norms using Hodge decompositions on weakly Lipschitz domains. To ensure that solutions to the Dirac transmission problem indeed solve Maxwell’s equations, we introduce an exterior/interior derivative operator acting in the trace space. By showing that this operator commutes with the two basic reflection operators, we are able to prove that the Maxwell transmission problem is well posed. We also prove well-posedness for a class of oblique Dirac transmission problems with a strongly Lipschitz interface, in the L_2 space on the interface. This is shown by employing the Rellich technique, which gives angular spectral estimates on the rotation operator.
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Books on the topic "Problème de Calderon"

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Multilayer Potentials And Boundary Problems For Higher Order Elliptic Systems In Lipschitz Domains. Springer-Verlag Berlin and Heidelberg GmbH &, 2013.

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Street, Brian. Multi-parameter Singular Integrals. (AM-189). Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691162515.001.0001.

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This book develops a new theory of multi-parameter singular integrals associated with Carnot–Carathéodory balls. The book first details the classical theory of Calderón–Zygmund singular integrals and applications to linear partial differential equations. It then outlines the theory of multi-parameter Carnot–Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. The book then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. This book will interest graduate students and researchers working in singular integrals and related fields.
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Book chapters on the topic "Problème de Calderon"

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Booß-Bavnbek, Bernhelm, and Krzysztof P. Wojciechowski. "Calderón Projector for Dirac Operators." In Elliptic Boundary Problems for Dirac Operators, 75–94. Boston, MA: Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0337-7_12.

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Kislyakov, Sergey, and Natan Kruglyak. "Classical Calderón–Zygmund decomposition and real interpolation." In Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals, 23–45. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0469-1_1.

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Ryaben’kii, Viktor S. "Reduction of Boundary-Value Problems for the Laplace Equation to Boundary Equations of Calderón—Seeley Type." In Method of Difference Potentials and Its Applications, 81–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-642-56344-7_4.

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Monk, Peter. "THE SCATTERING PROBLEM USING CALDERON MAPS." In Finite Element Methods for Maxwell's Equations, 261–79. Oxford University Press, 2003. http://dx.doi.org/10.1093/acprof:oso/9780198508885.003.0010.

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Gadjiev, Tair, and Konul Suleymanova. "The Uniformly Parabolic Equations of Higher Order with Discontinuous Data in Generalized Morrey Spaces and Elliptic Equations in Unbounded Domains." In Recent Developments in the Solution of Nonlinear Differential Equations. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96781.

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We study the regularity of the solutions of the Cauchy-Dirichlet problem for linear uniformly parabolic equations of higher order with vanishing mean oscillation (VMO) coefficients. We prove continuity in generalized parabolic Morrey spaces Mp,φ of sublinear operators generated by the parabolic Calderon-Zygmund operator and by the commutator of this operator with bounded mean oscillation (BMO) functions. We obtain strong solution belongs to the generalized Sobolev-Morrey space Wp,φm,1∘Q. Also we consider elliptic equation in unbounded domains.
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"Fate and human responsibility (1): the problem." In The Mind and Art of Calderón, 107–13. Cambridge University Press, 1989. http://dx.doi.org/10.1017/cbo9780511897917.012.

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"UN PROBLEMA DE RECEPCIÓN. CALDERÓN Y LO CÓMICO." In El escenario cósmico, 155–56. Vervuert Verlagsgesellschaft, 2006. http://dx.doi.org/10.31819/9783865279545-008.

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Marcello, Elena. "Pietro Monti y el teatro del Siglo de Oro Estrategias de traducción del humor." In Biblioteca di Rassegna iberistica. Venice: Fondazione Università Ca’ Foscari, 2020. http://dx.doi.org/10.30687/978-88-6969-490-5/018.

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This article deals with the humor translation in Italian through the analysis of two comedies by Calderón de la Barca. In the 19th century, Pietro Monti published several volumes with different plays of the Spanish Golden Age, among which are Amar después de la muerte and Casa con dos puertas malas es de guardar. This article focuses on two problem areas, language-specific and culture-specific jokes, and it analyses the strategies used for Italian translation, in particular, the forms of compensation and adaptation or cases of ‘untranslatability’.
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"Complex interpolation, Hardy space, and Calder on-Zygmund operators." In Recent developments in the Navier-Stokes problem. CRC Press, 2002. http://dx.doi.org/10.1201/9781420035674.ch6.

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Suryanarayanan, Sainath. "On an Economic Treadmill of Agriculture: Efforts to Resolve Pollinator Decline." In Controversies in Science and Technology. Oxford University Press, 2014. http://dx.doi.org/10.1093/oso/9780199383771.003.0024.

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On your next stroll outdoors, you may come across a flowering plant, enjoy its beauty, and perhaps even taste its fruits. A wandering Homo sapiens, however, is probably not the flowering plant’s primary audience; an insect pollinator is more likely the one being wooed. Indeed, the vast biodiversity of flowering plants and insects on Earth is thought to be the result of a fruitful co-evolution over several million years between these organisms (Price 1997, pp. 239–258). Bees, wasps, butterflies, flies, and several other insects are also crucial in their role as pollinators for sus­taining managed agricultural ecosystems (or agro-ecosystems; National Research Council [NRC] 2007). Honey bees (Apis mellifera), managed by beekeepers, are alone estimated to be responsible for over $15 billion worth of increased yield and quality in the United States annually (Morse and Calderone 2000). U.S. growers rent an estimated 2 million beehives each year from beekeepers to pollinate over ninety different fruit, vegetable, and fiber crops (Delaplane and Mayer 2000; NRC 2007). In the first decades of the 21st century, public and scientific attention in the United States and elsewhere has been gripped by frequent reports of declines in populations of insect pollinators (e.g., Biesmeijer et al. 2006; NRC 2007), exemplified most dramatically by the news of Colony Collapse Disorder (CCD) among managed honey bees (vanEngelsdorp et al. 2009; Pettis and Delaplane 2010). While there are ongoing scientific and public debates over the extent to which the documented declines in insect pollinators constitute a global “pollinator crisis,” whether agricultural productivity has actually declined due to these losses, and what the primary causal factors are, there is nonetheless a consensus that parts of North America and Europe continue to undergo worrying reductions in the diversity and abundance of multiple species of insect pollinators (Ghazoul 2005; Stefan-Dewenter et al. 2005; NRC 2007; Carvalheiro et al. 2013). In this chapter, I analyze the main kinds of efforts that are being taken by key institutional players to resolve the environmental problem of pollinator decline in the United States.
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Conference papers on the topic "Problème de Calderon"

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Xu, Hongdan, Yaming Bo, and Ming Zhang. "Combining Calderon preconditioner and H2-matrix method for solving electromagnetic scattering problems." In 2016 IEEE International Workshop on Electromagnetics: Applications and Student Innovation Competition (iWEM). IEEE, 2016. http://dx.doi.org/10.1109/iwem.2016.7504952.

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Chen, H., J. Zhu, R. S. Chen, and Z. H. Fan. "Calderon multiplicative preconditioner for acceleration of fast direction multilevel algorithm for scattering problem." In 2010 International Conference on Microwave and Millimeter Wave Technology (ICMMT). IEEE, 2010. http://dx.doi.org/10.1109/icmmt.2010.5524915.

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Calderon-Sanchez, Javier, Daniel Duque, and Jesus Gómez-Goñi. "Modeling the Effect of Phase Change on LNG Impact With Open-Source CFD." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-77990.

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The phenomenology of loads due to sloshing impact on tanks, such as those in Liquefied Natural Gas (LNG) carriers, is a problem that is currently far from being fully assessed. A main particularity of LNG, among others (such as compressibility or hydroelasticity) is that it is carried at cryogenic temperatures, normally at liquid-vapor equilibrium. This implies phase changes may occur during sloshing impacts. However, phase change phenomena have normally been neglected in sloshing studies. Preliminary works from Behruzi et al. [1] and Ancellin et al. [2] show that phase change may have an effect on the maximum pressure load. The current work aims to study phase change phenomenology in pressure impact events at cryogenic conditions by implementing a phase change model in the open-source tool Open-FOAM. Results will be compared against previous work by the authors (Calderon-Sanchez et al. [3]), which did not feature phase change.
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Ortiz Guzman, J. E., A. Pillain, L. Rahmouni, and F. P. Andriulli. "On the preconditioning of the symmetric formulation for the EEG forward problem by leveraging on calderon formulas." In 2016 IEEE 13th International Symposium on Biomedical Imaging (ISBI). IEEE, 2016. http://dx.doi.org/10.1109/isbi.2016.7493376.

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Chen, Yongpin P., Lijun Jiang, Sheng Sun, and Weng Cho Chew. "Calderón preconditioned PMCHWT equation for layered medium problems." In 2014 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting. IEEE, 2014. http://dx.doi.org/10.1109/aps.2014.6905419.

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Marshall, Leandra, and Philip Stokes. "The Tucson Mountains Caldera: Using Gravity and Magnetic Anomalies to Test Trapdoor Subsidence and Locate Subsurface Plutonic Bodies." In Symposium on the Application of Geophysics to Engineering and Environmental Problems 2012. Environment and Engineering Geophysical Society, 2012. http://dx.doi.org/10.4133/1.4721894.

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