Spherical Means for PDEs - Hardcover

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01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. 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 Lamé equation, systems of diffusion and elasticity equations). In addition, applications to the random walk on spheres method are given.

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