Fundamental solutions of homogeneous elliptic differential operators

Details Fundamental solutions of homogeneous elliptic differential operators Fundamental solutions of homogeneous elliptic differential operators

2005-10-31

arxiv.org/abs/math/0510672v1

Bulletin des Sciences Math\'ematiques. Volume 130, Issue 3 , April-May 2006, Pages 264-268

Mathematics

Analysis of PDEs

5 pages, perhaps to be revised

Scientific paper

10.1016/j.bulsci.2005.12.001

We compute fundamental solutions of homogeneous elliptic differential
operators, with constant coefficients, on $\mathbb{R}^n$ by mean of analytic
continuation of distributions. The result obtained is valid in any dimension,
for any degree and can be extended to pseudodifferential operators of the same
type.

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