Academic literature on the topic 'Unique Continuation Property'

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Journal articles on the topic "Unique Continuation Property"

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Soave, Nicola, and Tobias Weth. "The Unique Continuation Property of Sublinear Equations." SIAM Journal on Mathematical Analysis 50, no. 4 (2018): 3919–38. http://dx.doi.org/10.1137/17m1144325.

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Lin, Ching-Lung, and Gen Nakamura. "Unique continuation property for anomalous slow diffusion equation." Communications in Partial Differential Equations 41, no. 5 (2016): 749–58. http://dx.doi.org/10.1080/03605302.2015.1135164.

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De Carli, Laura, and Takashi Ōkaji. "Strong unique continuation property for the Dirac equation." Publications of the Research Institute for Mathematical Sciences 35, no. 6 (1999): 825–46. http://dx.doi.org/10.2977/prims/1195143357.

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Chen, Mo. "Unique continuation property for the Zakharov–Kuznetsov equation." Computers & Mathematics with Applications 77, no. 5 (2019): 1273–81. http://dx.doi.org/10.1016/j.camwa.2018.11.002.

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ŌKAJI, Takashi. "Strong unique continuation property for time harmonic Maxwell equations." Journal of the Mathematical Society of Japan 54, no. 1 (2002): 89–122. http://dx.doi.org/10.2969/jmsj/1191593956.

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Strehlke, Nick. "A Unique Continuation Property for the Level Set Equation." International Mathematics Research Notices 2020, no. 16 (2018): 4843–51. http://dx.doi.org/10.1093/imrn/rny148.

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Abstract We prove the following unique continuation result: if a solution to the level set equation for mean curvature flow in a mean convex domain agrees to infinite order at the point where it attains its maximum with the solution for a ball, then it agrees everywhere and the domain is a ball.
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Hadi, Islam Eddine, and N. Tsouli. "Strong unique continuation of eigenfunctions forp-Laplacian operator." International Journal of Mathematics and Mathematical Sciences 25, no. 3 (2001): 213–16. http://dx.doi.org/10.1155/s0161171201004744.

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Sanada, Makoto. "Strong unique continuation property for some second order elliptic systems." Proceedings of the Japan Academy, Series A, Mathematical Sciences 83, no. 7 (2007): 119–22. http://dx.doi.org/10.3792/pjaa.83.119.

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Bourgeois, Laurent. "Quantification of the unique continuation property for the heat equation." Mathematical Control & Related Fields 7, no. 3 (2017): 347–67. http://dx.doi.org/10.3934/mcrf.2017012.

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Kozakevicius, Alice, and Octavio Paulo Vera. "On the unique continuation property for a nonlinear dispersive system." Electronic Journal of Qualitative Theory of Differential Equations, no. 14 (2005): 1–23. http://dx.doi.org/10.14232/ejqtde.2005.1.14.

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Dissertations / Theses on the topic "Unique Continuation Property"

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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 con
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Feng, Wen-Yen, and 馮文彥. "The strong unique continuation property for the Dirac operator." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/22113404783084719266.

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碩士<br>臺灣大學<br>數學研究所<br>98<br>This paper is a survey of strong unique continuation property for the Dirac equation. We know that a function can be non-triviual even if it vanishes of infinite order at some point. We say a differential equation(or inequality) has strong unique continuation property(SUCP) if u is a solution of this differential equation (or inequality) and u vanishes of infinite order at some x_{0}, then u is identically zero.
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Yao, Peng-Fei, and 姚鵬飛. "The Strong Unique Continuation Property of The Plate Equation with Lipschitz coefficients." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/00171383106471976802.

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碩士<br>國立臺灣大學<br>數學研究所<br>100<br>In this paper we study the solution of plate equation with Lipschitz coefficients in two dimensions. Our main result is the bound on the vanishing order of a nontrivial solution satisfying the plate equation, which immediately implies the srtong unique continuation property(SUCP).
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Book chapters on the topic "Unique Continuation Property"

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Booß-Bavnbek, Bernhelm, and Krzysztof P. Wojciechowski. "Unique Continuation Property for Dirac Operators." In Elliptic Boundary Problems for Dirac Operators. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0337-7_8.

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Panthee, Mahendra. "Unique Continuation Property for the Benjamin Equation." In Springer Proceedings in Mathematics & Statistics. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54271-8_11.

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Ōkaji, Takashi. "Strong Unique Continuation Property for First Order Elliptic Systems." In Carleman Estimates and Applications to Uniqueness and Control Theory. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-0203-5_11.

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Kim, Jong Uhn. "A unique continuation property of a beam equation with variable coefficients." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-6418-3_14.

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Mark, James E., Harry R. Allcock, and Robert West. "Polysilanes and Related Polymers." In Inorganic Polymers. Oxford University Press, 2005. http://dx.doi.org/10.1093/oso/9780195131192.003.0009.

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In polysilane polymers, the polymer backbone is made up entirely of silicon atoms. Therefore these materials differ from other important inorganic polymers, the siloxanes and phosphazenes, in which the polymer chain is heteroatomic. Structurally, they are more closely related to homoatomic organic polymers such as the polyolefins. However, because the units in the main chain are all silicon atoms, the polysilanes exhibit quite unusual properties. The cumulated silicon-silicon bonds in the polymer chain allow extensive electron delocalization to take place, and this delocalization of the sigma electrons in the Si-Si bonds gives the polysilanes unique optical and electronic properties. Many of the potential technical uses, as well as the remarkable properties, of polysilanes result from this unusual mobility of the sigma electrons. The polysilanes can be regarded as one-dimensional analogs to elemental silicon, on which, of course, nearly all of modern electronics is based. The photophysical behavior of polysilanes is not approached by any other materials, save for the less stable and more costly polygermanes and polystannanes. The remarkable properties of polysilanes have led to intense interest, and to numerous proposed high-tech applications. But the great promise of polysilanes as materials has yet to be realized. Their only commercial use at present is as precursors to silicon carbide ceramics, an application which takes no advantage of their optical or electronic properties. Linear polysilane polymers, properly called poly(silylene)s, can be obtained as homopolymers or copolymers. Continuation of the polysilane chain consumes two of the four valences of each silicon atom; the other two are taken up by pendent groups, which may be the same or different. Copolymers, which contain two or more kinds of silicon atoms, can be made up from units. A typical example is the copolymer of Me2Si and PhMeSi units, poly(dimethylsilylene-co-phenylmethylsilylene), which bears the popular name “polysilastyrene.” The pendent groups are typically organic units and can include alkyl, aryl, substituted aryl, hydrogen, Me3Si, ferrocenyl, and so on. An unlimited number of different polymers are possible, and several hundred compositions have been described in the literature.
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Conference papers on the topic "Unique Continuation Property"

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Shakhmurov, Veli B., Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Carleman Estimates and Unique Continuation Property for Abstract Elliptic Equations." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3636810.

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