WIAS Preprint No. 1124, (2006)

Quasilinear parabolic systems with mixed boundary conditions



Authors

  • Hieber, Matthias
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 35A05 35B65 35K15 35K20

Keywords

  • Partial differential equations, parabolic operators, maximal regularity, nonsmooth domains, discontinuous coefficients, mixed boundary conditions

Abstract

In this paper we investigate quasilinear systems of reaction-diffusion equations with mixed Dirichlet-Neumann bondary conditions on non smooth domains. Using techniques from maximal regularity and heat-kernel estimates we prove existence of a unique solution to systems of this type.

Appeared in

  • SIAM J. Math. Anal., 40 (2008) pp. 292--305.

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