Blow-up and convergence results for a one-dimensional non-local parabolic problem

Authors
Rougirel, A
Citation
A. Rougirel, Blow-up and convergence results for a one-dimensional non-local parabolic problem, Z ANAL ANWE, 20(1), 2001, pp. 93-113
Citations number
16
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN journal
02322064 → ACNP
Volume
20
Issue
1
Year of publication
2001
Pages
93 - 113
Database
ISI
SICI code
0232-2064(2001)20:1<93:BACRFA>2.0.ZU;2-V
Abstract
Considering a one-dimensional non-local semilinear parabolic problem, it is shown that blow-up in finite time occurs for suitable large initial condit ions. The asymptotic behavior of global solutions corresponding to small in itial conditions is also investigated. Their convergence in H-1-norm to a w ell determinated stationary solution is proved.