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Relevant bibliographies by topics / Boundary value problems. Besov spaces. Lipschitz spaces

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Academic literature on the topic 'Boundary value problems. Besov spaces. Lipschitz spaces'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 February 2022

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Journal articles on the topic "Boundary value problems. Besov spaces. Lipschitz spaces"

1

Mayboroda, Svetlana, and Marius Mitrea. "Layer potentials and boundary value problems for Laplacian in Lipschitz domains with data in quasi-Banach Besov spaces." Annali di Matematica Pura ed Applicata 185, no. 2 (2005): 155–87. http://dx.doi.org/10.1007/s10231-004-0125-5.

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2

El Baraka, A., and M. Masrour. "Regularity results for solutions of linear elliptic degenerate boundary-value problems." Arabian Journal of Mathematics 9, no. 3 (2020): 545–66. http://dx.doi.org/10.1007/s40065-020-00278-x.

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Abstract We give an a-priori estimate near the boundary for solutions of a class of higher order degenerate elliptic problems in the general Besov-type spaces $$B^{s,\tau }_{p,q}$$ B p , q s , τ . This paper extends the results found in Hölder spaces $$C^s$$ C s , Sobolev spaces $$H^s$$ H s and Besov spaces $$B^s_{p,q}$$ B p , q s , to the more general framework of Besov-type spaces.

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3

Shakhmurov, Veli B., and Ravi P. Agarwal. "Linear and nonlinear degenerate boundary value problems in Besov spaces." Mathematical and Computer Modelling 49, no. 5-6 (2009): 1244–59. http://dx.doi.org/10.1016/j.mcm.2008.04.008.

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4

Franke, Jens, and Thomas Runst. "Regular Elliptic Boundary Value Problems in Besov-Triebel-Lizorkin Spaces." Mathematische Nachrichten 174, no. 1 (1995): 113–49. http://dx.doi.org/10.1002/mana.19951740110.

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5

Bacuta, Constantin, James H. Bramble, and Jinchao Xu. "Regularity estimates for elliptic boundary value problems in Besov spaces." Mathematics of Computation 72, no. 244 (2002): 1577–96. http://dx.doi.org/10.1090/s0025-5718-02-01502-8.

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6

Dallos Santos, Dionicio Pastor. "Problems with Mixed Boundary Conditions in Banach Spaces." Chinese Journal of Mathematics 2017 (March 15, 2017): 1–8. http://dx.doi.org/10.1155/2017/7838102.

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Using Leray-Schauder degree or degree for α-condensing maps we obtain the existence of at least one solution for the boundary value problem of the following type: φu′′=ft,u,u′, u(T)=0=u′(0), where φ:X→X is a homeomorphism with reverse Lipschitz constant such that φ(0)=0, f:0,T×X×X→X is a continuous function, T is a positive real number, and X is a real Banach space.

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7

Rabinovich, Vladimir. "Lp-theory of boundary integral operators for domains with unbounded smooth boundary." Georgian Mathematical Journal 23, no. 4 (2016): 595–614. http://dx.doi.org/10.1515/gmj-2016-0049.

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AbstractThe paper is devoted to the ${L^{p}}$-theory of boundary integral operators for boundary value problems described by anisotropic Helmholtz operators with variable coefficients in unbounded domains with unbounded smooth boundary. We prove the invertibility of boundary integral operators for Dirichlet and Neumann problems in the Bessel-potential spaces ${H^{s,p}(\partial D)}$, ${p\in(1,\infty)}$, and the Besov spaces ${B_{p,q}^{s}(\partial D)}$, ${p,q\in[1,\infty]}$. We prove also the Fredholmness of the Robin problem in these spaces and give the index formula.

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8

Päivärinta, L., and T. Runst. "Multiplicity results for semilinear elliptic boundary value problems in Besov and Triebel-Lizorkin spaces." Proceedings of the Edinburgh Mathematical Society 34, no. 3 (1991): 393–410. http://dx.doi.org/10.1017/s0013091500005174.

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The paper deals with superlinear elliptic boundary value problems depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we prove lower bounds on the number of solutions. The results generalize a theorem due to Lazer and McKenna within the framework of quasi-Banach spaces of Besov and Triebel-Lizorkin spaces.

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9

Shen, Zhongwei. "Boundary value problems in Morrey spaces for elliptic systems on Lipschitz domains." American Journal of Mathematics 125, no. 5 (2003): 1079–115. http://dx.doi.org/10.1353/ajm.2003.0035.

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10

Buchukuri, T., and O. Chkadua. "Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges." Georgian Mathematical Journal 7, no. 3 (2000): 441–60. http://dx.doi.org/10.1515/gmj.2000.441.

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Abstract Dirichlet- and Neumann-type boundary value problems of statics are considered in three-dimensional domains with cuspidal edges filled with a homogeneous anisotropic medium. Using the method of the theory of a potential and the theory of pseudodifferential equations on manifolds with boundary, we prove the existence and uniqueness theorems in Besov and Bessel-potential spaces, and study the smoothness and a complete asymptotics of solutions near the cuspidal edges.

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Dissertations / Theses on the topic "Boundary value problems. Besov spaces. Lipschitz spaces"

1

Wright, Matthew E. "Boundary value problems for the Stokes system in arbitrary Lipschitz domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2008. http://hdl.handle.net/10355/5590.

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Thesis (Ph. D.)--University of Missouri-Columbia, 2008.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 18, 2009) Vita. Includes bibliographical references.

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2

Jakab, Tunde. "Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4438.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.<br>The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 27, 2007) Vita. Includes bibliographical references.

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3

Buffa, Vito. "Higher order Sobolev Spaces and polyharmonic boundary value problems in Carnot Groups." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2014. http://amslaurea.unibo.it/6893/.

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The main task of this work is to present a concise survey on the theory of certain function spaces in the contexts of Hörmander vector fields and Carnot Groups, and to discuss briefly an application to some polyharmonic boundary value problems on Carnot Groups of step 2.

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Books on the topic "Boundary value problems. Besov spaces. Lipschitz spaces"

1

S, Salsa, ed. A geometric approach to free boundary problems. American Mathematical Society, 2005.

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2

Kunoth, Angela. Multilevel preconditioning. Shaker, 1994.

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3

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

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