On Gårding's inequality |
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| Authors: | Niels Jacob Bernd Schomburg |
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| Affiliation: | (1) Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstraße 1 1/2, D-8520 Erlangen, W. Germany;(2) Freie Universität Berlin, Fachbereich Mathematik, Institute für Mathematik III, Arnimallee 2-6, D-1000 Berlin 33, W. Germany |
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| Abstract: | In this paper we prove Gårding's inequality for linear differential operators in generalized divergence form which satisfy a generalized Ehrling inequality, an ellipticity condition and a condition on the coefficients. Using a compact imbedding between certain anisotropic Sobolev spaces we substitute the first condition (Ehrling's inequality) by a simple condition on a set of multi-indices. |
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| Keywords: | Primary 35D05 35G15 |
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