Hyperbolic boundary value problems arising from symmetric Poisson processes
type: Item
instance of: scholarly article
title: Hyperbolic boundary value problems arising from symmetric Poisson processes
zbMATH Open document ID: 0582.35083
DOI: 10.1016/0898-1221(85)90155-5
publication date: 1985-01-01T00:00:00Z
review text: For several classical PDEs, e.g. Laplace, heat, it is possible to set up an isomorphism between solutions in a domain and their boundary values in suitable spaces of generalized functions. This program is carried out here in the case of a hyperbolic equation due to \textit{S. Bochner} [Proc. Conf. Differ. Equations, Maryland 1955, 23-48 (1956; Zbl 0075.280)] in a square domain. The isomorphism in question is constructed using series of Jacobi polynomials.
Mathematics Subject Classification ID: 35L99
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 3931587
zbMATH Keywords: symmetric Poisson processes
zbMATH Keywords: isomorphism
zbMATH Keywords: solutions in a domain
zbMATH Keywords: boundary values
zbMATH Keywords: generalized functions
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: Jacobi polynomials
author: Peter A. McCoy
MaRDI profile type: Publication
full work available at URL: 0898-1221(85)90155-5
OpenAlex ID: W2045504257
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 3931587