Fundamental Solutions and Mapping Properties of Semielliptic Operators
Analysis of PDEs
2007-05-23 v1
Abstract
An explicit formula is given for a fundamental solution for a class of semielliptic operators. The fundamental solution is used to investigate properties of these operators as mappings between weighted function spaces. Necessary and sufficient conditions are given for such a mapping to be an isomorphism. Results apply, for example, to elliptic, parabolic, and generalized p-parabolic operators.
Cite
@article{arxiv.math/0406202,
title = {Fundamental Solutions and Mapping Properties of Semielliptic Operators},
author = {G. N. Hile},
journal= {arXiv preprint arXiv:math/0406202},
year = {2007}
}
Comments
35 pages