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.
- ISBN13 9783110926026
- Publish Date 1 January 1997
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 188
- Language English
- URL http://degruyter.com/search?f_0=isbnissn&q_0=9783110926026&searchTitles=true