On the Laplace operator and on the vector potential problems in the half‐space: an approach using weighted spaces

DOI10.1002/mma.369zbMath1290.35034OpenAlexW1979053973MaRDI QIDQ4707202

Tahar Zamène Boulmezaoud

Publication date: 10 June 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.369

zbMATH Keywords

vector potentialunbounded domainsLaplace equationweighted spaceshalf-space

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Boundary value problems for linear first-order PDEs (35F15)

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Cites Work

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• On boundary value problems of neumann type for the dirac operator in a half space of