Fundamental solutions for a class of non-elliptic homogeneous differential operators |
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| Authors: | Brice Camus |
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| Institution: | Ruhr-Universität Bochum, Fakultät für Mathematik, Universitätsstr. 150, D-44780 Bochum, Germany |
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| 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. |
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| Keywords: | Fundamental solutions PDE Singularities |
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