Differential and Integral Equations
- Differential Integral Equations
- Volume 9, Number 5 (1996), 891-901.
Remarks on the blowup estimate for solution of the heat equation with a nonlinear boundary condition
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
Differential Integral Equations, Volume 9, Number 5 (1996), 891-901.
First available in Project Euclid: 6 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35K60: Nonlinear initial value problems for linear parabolic equations
Secondary: 35B40: Asymptotic behavior of solutions
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