Header

UZH-Logo

Maintenance Infos

Quasilinear parabolic problems via maximal regularity


Amann, H (2005). Quasilinear parabolic problems via maximal regularity. Advances in Differential Equations, 10(10):1081-1110.

Abstract

We use maximal Lp regularity to study quasilinear parabolic
evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerous applications, some of which will be discussed in separate publications.

Abstract

We use maximal Lp regularity to study quasilinear parabolic
evolution equations. In contrast to all previous work we only assume that the nonlinearities are defined on the space in which the solution is sought for. It is shown that there exists a unique maximal solution depending continuously on all data, and criteria for global existence are given as well. These general results possess numerous applications, some of which will be discussed in separate publications.

Statistics

Citations

26 citations in Web of Science®
23 citations in Scopus®
Google Scholar™

Downloads

106 downloads since deposited on 01 Feb 2010
48 downloads since 12 months
Detailed statistics

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2005
Deposited On:01 Feb 2010 08:19
Last Modified:05 Apr 2016 13:24
Publisher:Khayyam
ISSN:1079-9389
Official URL:http://www.aftabi.com/ADE/ade10.html
Related URLs:http://www.ams.org/mathscinet-getitem?mr=2162362

Download

Preview Icon on Download
Preview
Filetype: PDF
Size: 1MB

TrendTerms

TrendTerms displays relevant terms of the abstract of this publication and related documents on a map. The terms and their relations were extracted from ZORA using word statistics. Their timelines are taken from ZORA as well. The bubble size of a term is proportional to the number of documents where the term occurs. Red, orange, yellow and green colors are used for terms that occur in the current document; red indicates high interlinkedness of a term with other terms, orange, yellow and green decreasing interlinkedness. Blue is used for terms that have a relation with the terms in this document, but occur in other documents.
You can navigate and zoom the map. Mouse-hovering a term displays its timeline, clicking it yields the associated documents.

Author Collaborations