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Rougirel, A (2001). A result of blowup driven by a nonlocal source term. Nonlinear Analysis, 47(1):113-122.
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 |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | parabolic, blowup, nonlocal |
| Language: | English |
| Date: | 2001 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 03 Mar 2025 02:37 |
| Publisher: | Elsevier |
| ISSN: | 0362-546X |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/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 |
Rougirel, A