Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains

Matthias Georg Hieber; Joachim Rehberg

doi:10.1137/070683829

Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains

Matthias Georg Hieber, Joachim Rehberg

Research output: Contribution to journal › Article

25 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	292-305
Number of pages	14
Journal	SIAM Journal on Mathematical Analysis
Volume	40
Issue number	1
DOIs	https://doi.org/10.1137/070683829
Publication status	Published - 2008
Externally published	Yes

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Keywords

L -coefficients
Mixed dirichlet-neumann conditions
Quasilinear parabolic system

ASJC Scopus subject areas

Analysis
Applied Mathematics
Computational Mathematics

Cite this

Hieber, M. G., & Rehberg, J. (2008). Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains. SIAM Journal on Mathematical Analysis, 40(1), 292-305. https://doi.org/10.1137/070683829

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Access to Document

10.1137/070683829