IJPAM: Volume 93, No. 2 (2014)
ESTIMATES FROM BELOW OF BLOW-UP TIME IN
A PARABOLIC SYSTEM WITH GRADIENT TERM
A PARABOLIC SYSTEM WITH GRADIENT TERM
M. Marras
, S. Vernier Piro
, G. Viglialoro
Dipartimento di Matematica e Informatica
V. le Merello 92, Cagliari 09123, ITALY
Dipartimento di Matematica e Informatica
Via Ospedale 72, Cagliari 09124, ITALY




V. le Merello 92, Cagliari 09123, ITALY

Via Ospedale 72, Cagliari 09124, ITALY
Abstract. This paper deals with a nonlinear and weakly coupled parabolic system, containing gradient terms, under Dirichlet boundary conditions. The blow-up phenomena of its positive solutions are analyzed and, in particular, an estimate from below of blow-up time is obtained.
Received: March 10, 2014
AMS Subject Classification: 35K55, 35K60, 35B44
Key Words and Phrases: blow-up, nonlinear parabolic systems
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DOI: 10.12732/ijpam.v93i2.13 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 93
Issue: 2
Pages: 297 - 306
