On the Green function of linear evolution equations for a region with a boundary

We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturbation approach to boundary problems.

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Bibliographic Details
Published inarXiv.org
Main Authors Krylov, George, Robnik, Marko
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.03.2000
Subjects
Boundary conditions
Dirichlet problem
Green's functions
Linear evolution equations
Mathematical analysis
Nonlinear programming
Singular perturbation
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Summary:We derive a closed-form expression for the Green function of linear evolution equations with the Dirichlet boundary condition for an arbitrary region, based on the singular perturbation approach to boundary problems.
ISSN:2331-8422
DOI:10.48550/arxiv.0003066