Differential and Integral Equations

Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition

Bei Hu

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

This paper establishes the blowup estimate near the blowup time for the heat equation $u_t = \Delta u$ with the nonlinear boundary condition $u_n = u^p$ on $\partial \Omega\times [0,T)$, where $\Omega$ is a bounded domain in $R^N$. It is proved that the blowup will not occur in the interior of the domain. The blowup rate is established under certain conditio

Article information

Source
Differential Integral Equations, Volume 9, Number 5 (1996), 891-901.

Dates
First available in Project Euclid: 6 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367871522

Mathematical Reviews number (MathSciNet)
MR1392086

Zentralblatt MATH identifier
0852.35072

Subjects
Primary: 35K60: Nonlinear initial value problems for linear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions

Citation

Hu, Bei. Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition. Differential Integral Equations 9 (1996), no. 5, 891--901. https://projecteuclid.org/euclid.die/1367871522


Export citation