Advances in Differential Equations

Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion

Kazuhiro Ishige

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We consider blow-up problems of the Cauchy-Neumann problem for semilinear heat equations with large diffusion. We prove that, in cylindrical domains, the solutions blow up only at the edge of the domain for almost all initial data. Furthermore, we give an estimate of the blow-up time of the solutions.

Article information

Source
Adv. Differential Equations Volume 7, Number 8 (2002), 1003-1024.

Dates
First available in Project Euclid: 27 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1356651687

Mathematical Reviews number (MathSciNet)
MR1895115

Zentralblatt MATH identifier
1036.35096

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions

Citation

Ishige, Kazuhiro. Blow-up time and blow-up set of the solutions for semilinear heat equations with large diffusion. Adv. Differential Equations 7 (2002), no. 8, 1003--1024. https://projecteuclid.org/euclid.ade/1356651687.


Export citation