UZH-Logo

Maintenance Infos

A result of blowup driven by a nonlocal source term


Rougirel, A (2001). A result of blowup driven by a nonlocal source term. Nonlinear Analysis, 47(1):113-122.

Abstract

Considering a nonlocal semilinear parabolic problem, we prove the existence of solutions which blow up in finite time. These solutions correspond to large negative initial conditions defined on large domains of the real line. The blowup occurs from the nonlinear and nonlocal source term. In this situation the nonlinear and nonlocal boundary term works against blowup.

Considering a nonlocal semilinear parabolic problem, we prove the existence of solutions which blow up in finite time. These solutions correspond to large negative initial conditions defined on large domains of the real line. The blowup occurs from the nonlinear and nonlocal source term. In this situation the nonlinear and nonlocal boundary term works against blowup.

Citations

2 citations in Web of Science®
1 citation in Scopus®
Google Scholar™

Altmetrics

Additional indexing

Other titles:Proceedings of the Third World Congress of Nonlinear Analysts, Part 1 (Catania, 2000)
Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:parabolic, blowup, nonlocal
Language:English
Date:2001
Deposited On:29 Nov 2010 16:27
Last Modified:05 Apr 2016 13:25
Publisher:Elsevier
ISSN:0362-546X
Publisher DOI:10.1016/S0362-546X(01)00161-4
Related URLs:http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1042.35565
http://www.ams.org/mathscinet-getitem?mr=1970635

Download

Full text not available from this repository.View at publisher

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