Maximal parabolic regularity for divergence operators on distribution spaces
- Haller-Dintelmann, Robert
- Rehberg, Joachim
2010 Mathematics Subject Classification
- 35A05 35B6 35K15 35K20
- Maximal parabolic regularity, quasilinear parabolic equations, mixed Dirichlet--Neumann conditions
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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