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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

26 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

Keywords

L -coefficients
Mixed dirichlet-neumann conditions
Quasilinear parabolic system

ASJC Scopus subject areas

Analysis
Applied Mathematics
Computational Mathematics

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10.1137/070683829

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title = "Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains",

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.",

keywords = "L -coefficients, Mixed dirichlet-neumann conditions, Quasilinear parabolic system",

author = "Hieber, {Matthias Georg} and Joachim Rehberg",

year = "2008",

doi = "10.1137/070683829",

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journal = "SIAM Journal on Mathematical Analysis",

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AU - Hieber, Matthias Georg

AU - Rehberg, Joachim

PY - 2008

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AB - 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.

KW - L -coefficients

KW - Mixed dirichlet-neumann conditions

KW - Quasilinear parabolic system

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DO - 10.1137/070683829

M3 - Article

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 1

ER -

Quasilinear parabolic systems with mixed boundary conditions on nonsmooth domains

Abstract

Keywords

ASJC Scopus subject areas

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