WIAS Preprint No. 1288, (2008)

Maximal parabolic regularity for divergence operators including mixed boundary conditions



Authors

  • Haller-Dintelmann, Robert
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 35A05 35B65 35K15 35K20

Keywords

  • Maximal parabolic regularity, quasilinear parabolic equations, mixed Dirichlet-Neumann conditions

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 and $A$ is complemented with mixed boundary conditions. Applications to quasilinear parabolic equations with non-smooth data are presented.

Appeared in

  • J. Differential Equations, 247 (2009) pp. 1354--1396.

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