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On quasilinear parabolic evolution equations in weighted L^p-spaces

Köhne, M. ; Prüss, J. ; Wilke, M. (2010)
On quasilinear parabolic evolution equations in weighted L^p-spaces.
In: J. Evol. Equ., 10
doi: 10.1007/s00028-010-0056-0
Article, Bibliographie

Item Type: Article
Erschienen: 2010
Creators: Köhne, M. ; Prüss, J. ; Wilke, M.
Type of entry: Bibliographie
Title: On quasilinear parabolic evolution equations in weighted L^p-spaces
Language: English
Date: 19 February 2010
Publisher: Birkhäuser/Springer Basel AG
Journal or Publication Title: J. Evol. Equ.
Volume of the journal: 10
DOI: 10.1007/s00028-010-0056-0
Alternative Abstract:
Alternative abstract Language

In this paper we develop a geometric theory for quasilinear parabolic problems in weighted L p-spaces. We prove existence and uniqueness of solutions as well as the continuous dependence on the initial data. Moreover, we make use of a regularization effect for quasilinear parabolic equations to study the ω-limit sets and the long-time behaviour of the solutions. These techniques are applied to a free boundary value problem. The results in this paper are mainly based on maximal regularity tools in (weighted) L p-spaces

English
Divisions: Exzellenzinitiative
Exzellenzinitiative > Clusters of Excellence
04 Department of Mathematics
04 Department of Mathematics > Analysis
04 Department of Mathematics > Analysis > Mathematical Modeling and Analysis
Zentrale Einrichtungen
Exzellenzinitiative > Clusters of Excellence > Center of Smart Interfaces (CSI)
04 Department of Mathematics > Mathematical Modelling and Analysis
Date Deposited: 23 Sep 2011 10:10
Last Modified: 07 Feb 2024 11:55
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