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On homeomorphisms for an elliptic equation in domains with corners

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Publication:1343073
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zbMath0829.35026MaRDI QIDQ1343073

R. Bruce Kellogg, A. Kadir Aziz

Publication date: 23 February 1995

Published in: Differential and Integral Equations (Search for Journal in Brave)


zbMATH Keywords

mixed boundary value problempolygonal boundarydistribution 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)


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Shape derivatives in Kondratiev spaces for conical diffraction ⋮ Calculation of electromagnetic scattering by a perfect conductor ⋮ Boundary value problems in spaces of distributions on smooth and polygonal domains ⋮ Variational problems in weighted Sobolev spaces on non-smooth domains ⋮ On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains



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