On the structure of the solutions of the first initial boundary value problem for the Sobolev's equation

DOI10.1215/KJM/1250519122zbMath0826.35096OpenAlexW1939169354MaRDI QIDQ1326730

Andrei A. Lyashenko

Publication date: 23 November 1995

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250519122

zbMATH Keywords

abstract Cauchy problemintegral representationcompletenessCauchy-Dirichlet problemSobolev equationgeneralized eigenfunctionsbounded domain with corner points

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Integral representations of solutions to PDEs (35C15)

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