Fundamental solutions for a class of non-elliptic homogeneous differential operators

Details Fundamental solutions for a class of non-elliptic homogeneous differential operators Fundamental solutions for a class of non-elliptic homogeneous differential operators

2007-04-05

arxiv.org/abs/0704.0801v1

Mathematics

Analysis of PDEs

15 pages, perhaps to be revised

Scientific paper

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.

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