Rougirel, A (2001). A result of blowup driven by a nonlocal source term. Nonlinear Analysis, 47(1):113-122.
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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.
| 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 |
| DDC: | 510 Mathematics |
| Uncontrolled Keywords: | parabolic, blowup, nonlocal |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 17:27 |
| Last Modified: | 23 Nov 2012 15:09 |
| 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 |
| WoS Citation Count: | 0 |
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