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arXiv · 0903.0239

Maximal parabolic regularity for divergence operators including mixed boundary conditions

Robert Haller-Dintelmann·Joachim Rehberg
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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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Robert Haller-Dintelmann, Joachim Rehberg. 2009-03-02. Maximal parabolic regularity for divergence operators including mixed boundary conditions. https://arxiv.org/abs/0903.0239

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