Spherical Means for Pdes (Hardcover) by Karl K Sabelfeld, Irina S Shalimova

9789067642118. New condition. Hard cover. Language: English. Pages: 196. Sewn binding. Cloth over boards. 196 p. 01/07 This title is now available from Walter de Gruyter. Please see ... 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 Lame equation, systems of diffusion and elasticity equations). In addition, applications to the random walk on spheres method are given.