Spherical and Plane Integral Operators for PDEs —— Construction, Analysis, and Applications

----- 偏微分方程的球面和平面积分算子：构造，分析和应用

ISBN: 9783110315295 出版年：2013 页码：338 Sabelfeld, Karl K Shalimova, Irina A De Gruyter

The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.