Maximal parabolic regularity for divergence operators on distribution spaces

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Date
2009
Volume
1459
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Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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
Maximal parabolic regularity, quasilinear parabolic equations, mixed Dirichlet-Neumann conditions.
Citation
Haller-Dintelmann, R., & Rehberg, J. (2009). Maximal parabolic regularity for divergence operators on distribution spaces (Vol. 1459). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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