Maximal parabolic regularity for divergence operators including mixed boundary conditions

Details Maximal parabolic regularity for divergence operators including mixed boundary conditions Maximal parabolic regularity for divergence operators including mixed boundary conditions

2009-03-02

arxiv.org/abs/0903.0239v1

Mathematics

Analysis of PDEs

39 pages, 4 postscript figures

Scientific paper

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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