An Algorithm for Computing Fundamental Solutions
Klaus Weihrauch, Ning Zhong · SIAM Journal on Computing · 2006
For a partial differential operator $P=\sum _{|\alpha |\leq m}c_{\alpha }D^{\alpha }$ with constant coefficients, a generalized function u is a fundamental solution if $Pu=\delta$, where $\delta$ is the Dirac distribution. In this article, we provide an algorithm which computes a fundamental solution for every such differential operator P on a Turing machine if the input- and output-data are represented canonically.