Abstract
We introduce a class of nonlinear parabolic problems of nonlocal type depending onthe Dirichlet integral and study the questions of existence, uniqueness and asymptotic behaviour for the solution.
Chipot, M; Valente, V; Vergara-Caffarelli, G (2003). Remarks on a nonlocal problem involving the Dirichlet energy. Rendiconti del Seminario Matematico della Università di Padova., 110:199-220.
Abstract
We introduce a class of nonlinear parabolic problems of nonlocal type depending onthe Dirichlet integral and study the questions of existence, uniqueness and asymptotic behaviour for the solution.
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Citations
57 citations in Web of Science®
59 citations in Scopus®
60 citations in Microsoft Academic
Google Scholar™
59 citations in Scopus®
60 citations in Microsoft Academic
Google Scholar™
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Additional indexing
| Other titles: | The Mathematical Journal of the University of Padova |
|---|---|
| Item Type: | Journal Article, refereed, original work |
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Algebra and Number Theory Physical Sciences > Mathematical Physics Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | nonlocal parabolic problem, Dirichlet integral, existence, uniqueness, stationary problem, asymptotic behaviour |
| Language: | English |
| Date: | 2003 |
| Deposited On: | 10 Jun 2010 15:49 |
| Last Modified: | 06 May 2020 21:14 |
| Publisher: | CEDAM |
| ISSN: | 0041-8994 |
| OA Status: | Green |
| Official URL: | http://rendiconti.math.unipd.it/volumes/vol110.php |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=2033009 http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1117.35034 |
Chipot, M