A result of blowup driven by a nonlocal source term

Authors
Rougirel, A
Citation
A. Rougirel, A result of blowup driven by a nonlocal source term, NONLIN ANAL, 47(1), 2001, pp. 113-122
Citations number
4
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
1
Year of publication
2001
Part
1
Pages
113 - 122
Database
ISI
SICI code
0362-546X(200108)47:1<113:AROBDB>2.0.ZU;2-K
Abstract
Considering a nonlocal semilinear parabolic problem, we prove the existence of solutions which blow up in finite time. These solutions correspond to l arge negative initial conditions defined on large domains of the real line. The blowup occurs from the nonlinear and nonlocal source term. In this sit uation the nonlinear and nonlocal boundary term works against blowup.