Maximal parabolic regularity for divergence operators including mixed boundary conditions |
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| Authors: | Robert Haller-Dintelmann Joachim Rehberg |
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| Affiliation: | a Technische Universität Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, D-64298 Darmstadt, Germany
b Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstr. 39, D-10117 Berlin, Germany |
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| Abstract: | We show that elliptic second order operators A of divergence type fulfill maximal parabolic regularity on distribution spaces, even if the underlying domain is highly non-smooth, the coefficients of A are discontinuous and A is complemented with mixed boundary conditions. Applications to quasilinear parabolic equations with non-smooth data are presented. |
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| Keywords: | primary, 35A05, 35B65 secondary, 35K15, 35K20 |
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