Spherical Means for PDEs PDF Download

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Spherical Means for PDEs

Spherical Means for PDEs PDF Author: Karl K. Sabelfeld
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110926024
Category : Mathematics
Languages : en
Pages : 196

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Book Description
This monographs presents new spherical mean value relations for classical boundary value problems of mathematical physics. The derived spherical mean value relations provide equivalent integral formulations of original boundary value problems. Direct and converse mean value theorems are proved for scalar elliptic equations (the Laplace, Helmholtz and diffusion equations), parabolic equations, high-order elliptic equations (biharmonic and metaharmonic equations), and systems of elliptic equations (the Lami equation, systems of diffusion and elasticity equations). In addition, applications to the random walk on spheres method are given.