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Singular behavior of the solution of the Helmholtz equation in weighted \(L^p\)-Sobolev spaces

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Publication:536524
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zbMath1219.35049MaRDI QIDQ536524

Colette De Coster, Serge Nicaise

Publication date: 18 May 2011

Published in: Advances in Differential Equations (Search for Journal in Brave)


zbMATH Keywords

Helmholtz equationsmoothness and regularity of solutions


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30)


Related Items

Unnamed Item, Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain, An anisotropic finite element method on polyhedral domains: Interpolation error analysis, Regularity and a priori error analysis on anisotropic meshes of a Dirichlet problem in polyhedral domains



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