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

Abstract

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.

9 pages

References in corpus (4)

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• ${\delta }^{\prime }$-Function Perturbations and Neumann Boundary-Conditions by Path Integration
• Path Integral Discussion of Two and- Three-Dimensional $\delta$-Function Perturbations
• The Laplace-Beltrami operator on surfaces with axial symmetry