## Differential and Integral Equations

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

Bei Hu

#### 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