Blow-up of semilinear PDE’s at the critical dimension. A probabilistic approach
- Publikationstyp:
- Zeitschriftenaufsatz
- Metadaten:
-
- Autoren
- Matthias Birkner
- José Alfredo López-Mimbela
- Anton Wakolbinger
- DOI
- 10.1090/s0002-9939-02-06322-0
- eISSN
- 1088-6826
- ISSN
- 0002-9939
- Ausgabe der Veröffentlichung
- 8
- Zeitschrift
- Proceedings of the American Mathematical Society
- Sprache
- en
- Paginierung
- 2431 - 2442
- Datum der Veröffentlichung
- 2002
- Status
- Published
- Herausgeber
- American Mathematical Society (AMS)
- Herausgeber URL
- http://dx.doi.org/10.1090/s0002-9939-02-06322-0
- Datum der Datenerfassung
- 2020
- Titel
- Blow-up of semilinear pde’s at the critical dimension. A probabilistic approach
- Ausgabe der Zeitschrift
- 130
Datenquelle: Crossref
- Andere Metadatenquellen:
-
- Abstract
- We present a probabilistic approach which proves blow-up of solutions of the Fujita equation partial derivativew/partial derivativet = -(-Delta)(alpha/2)w+w(1+beta) in the critical dimension d = alpha/beta. By using the Feynman-Kac representation twice, we construct a subsolution which locally grows to infinity as t–>infinity. In this way, we cover results proved earlier by analytic methods. Our method also applies to extend a blow-up result for systems proved for the Laplacian case by Escobedo and Levine (1995) to the case of alpha-Laplacians with possibly different parameters alpha.
- Autoren
- M Birkner
- JA Lopez-Mimbela
- A Wakolbinger
- DOI
- 10.1090/S0002-9939-02-06322-0
- ISSN
- 0002-9939
- Zeitschrift
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Notes
- article-number: UNSP S 0002-9939(02)06322-0 unique-id: WOS:000175300300034
- Artikelnummer
- 8
- Paginierung
- 2431 - 2442
- Datum der Veröffentlichung
- 2002
- Datum der Datenerfassung
- 2022
- Titel
- Blow-up of semilinear PDE’s at the critical dimension. A probabilistic approach
- Sub types
- article
- Ausgabe der Zeitschrift
- 130
Datenquelle: Manual
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