Výsledky vyhledávání - "Dirichlet and Neumann problems"

L$^2$ well-posedness of boundary value problems for parabolic systems with measurable coefficients

Autor: Pascal Auscher, Kaj Nyström, Moritz Egert

Publikováno v: J. Eur. Math. Soc. (JEMS) 6
J. Eur. Math. Soc. (JEMS) 6, 2020, 22 (9), pp.2943--3058
Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2020, 22 (9), pp.2943-3058. ⟨10.4171/JEMS/980⟩

We prove the first positive results concerning boundary value problems in the upper half-space of second order parabolic systems only assuming measurability and some transversal regularity in the coefficients of the elliptic part. To do so, we introd

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fe8c82be0f01d61b3d4b9064aac1f1d
https://doi.org/10.4171/jems/980

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Akademický článek

The Hardy potential and eigenvalue problems

Autor: Jan Chabrowski

Publikováno v: Opuscula Mathematica, Vol 31, Iss 2, Pp 173-194 (2011)

We establish the existence of principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We consider the Dirichlet and Neumann boundary conditions.

Externí odkaz: https://doaj.org/article/b144ce62269e4f06a7bee2f34c62517b

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Layer potential theory for the anisotropic Stokes system with variable $L_\infty$ symmetrically elliptic tensor coefficient

Autor: Sergey E. Mikhailov, Wolfgang L. Wendland, Mirela Kohr

Publikováno v: Mathematical Methods in the Applied Sciences.

© 2021 The Authors. The aim of this paper is to develop a layer potential theory in L2-based weighted Sobolev spaces on Lipschitz bounded and exterior domains of Rn , n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6851ef5ba6136ec899f403a85f03fe91
https://doi.org/10.1002/mma.7167

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Akademický článek

Uniqueness of Solutions of the Dirichlet and Neumann Problems for Hyperbolic Equations

Autor: Young, Eutiquio C.

Publikováno v: Transactions of the American Mathematical Society, 1971 Oct 01. 160, 403-409.

Externí odkaz: https://www.jstor.org/stable/1995815

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Akademický článek

Uniqueness of Solutions of Certain Boundary Value Problems for Ultrahyperbolic Equations

Autor: Diaz, J. B., Young, Eutiquio C.

Publikováno v: Proceedings of the American Mathematical Society, 1971 Aug 01. 29(3), 569-574.

Externí odkaz: https://www.jstor.org/stable/2038600

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Symmetry and Solutions to the Helmholtz Equation Inside an Equilateral Triangle

Autor: Nathaniel Stambaugh, Mark D. Semon

Publikováno v: J. Geom. Symmetry Phys. 43 (2017), 37-45

Solutions to the Helmholtz equation within an equilateral triangle which solve either the Dirichlet or Neumann problem are investigated. This is done by introducing a pair of differential operators, derived from symmetry considerations, which demonst

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d135d24363320b2cdfcb39f47cb6c77
https://doi.org/10.7546/jgsp-43-2017-37-45

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Representation and uniqueness for boundary value elliptic problems via first order systems

Autor: Pascal Auscher, Mihalis Mourgoglou

Publikováno v: Revista Matemática Iberoamericana
Revista Matemática Iberoamericana, European Mathematical Society, 2019, 35 (1), pp.242-315. ⟨10.4171/rmi/1054⟩

Given any elliptic system with $t$-independent coefficients in the upper-half space, we obtain representation and trace for the conormal gradient of solutions in the natural classes for the boundary value problems of Dirichlet and Neumann types with

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2382ec806e29b27d9ff9d4b62e72d7e6
https://hal.archives-ouvertes.fr/hal-00976498

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