On the steady states of a nonlocal semilinear heat equation

Authors
Guo, JS Hwang, TM
Citation
Js. Guo et Tm. Hwang, On the steady states of a nonlocal semilinear heat equation, DYN C D I S, 8(1), 2001, pp. 53-68
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS
ISSN journal
12013390 → ACNP
Volume
8
Issue
1
Year of publication
2001
Pages
53 - 68
Database
ISI
SICI code
1201-3390(200103)8:1<53:OTSSOA>2.0.ZU;2-9
Abstract
The purpose of this paper is to study the steady state solutions for a nonl ocal semilinear heat equation. The nonlocal term involves the integral of t he solution over the spatial interval. By using some elementary differentia l inequalities, a detailed analysis of existence and/or nonexistence of ste ady states are given for different ranges of parameters, from which it foll ows that some global existence and nonexistence results of solutions of the original heat equation can be easily deduced.