Fundamental solutions for a class of non-elliptic homogeneous differential operators
Analysis of PDEs
2007-05-23 v1 General Mathematics
Abstract
We compute temperate fundamental solutions of homogeneous differential operators with real-principal type symbols. Via analytic continuation of meromorphic distributions, fundamental solutions for these non-elliptic operators can be constructed in terms of radial averages and invariant distributions on the unit sphere.
Keywords
Cite
@article{arxiv.0704.0801,
title = {Fundamental solutions for a class of non-elliptic homogeneous differential operators},
author = {Brice Camus},
journal= {arXiv preprint arXiv:0704.0801},
year = {2007}
}
Comments
15 pages, perhaps to be revised