Weighted a priori estimates for the solution of the Dirichlet problem in polygonal domains in \(\mathbb{R}^2\)

DOI10.14321/realanalexch.39.2.0345zbMath1330.35111OpenAlexW1816531745MaRDI QIDQ2356303

Marcela Sanmartino, Marisa Toschi

Publication date: 29 July 2015

Published in: Real Analysis Exchange (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rae/1435670000

zbMATH Keywords

Dirichlet problemweighted Sobolev spacesGreen function

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Weak solutions to PDEs (35D30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Green's functions for elliptic equations (35J08)

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