Edge singular behavior for the heat equation on polyhedral cylinders in \(\mathbb R^3\)
The heat equation in the polyhedral cylinder is considered. A priori estimates are obtained in not weighted Sobolev spaces. It is shown that the singular part of the solution is based on the representation of the corner singularity for the Poisson problem with zero Dirichlet boundary condition.
scientific article; zbMATH DE number 6136717
scientific article