Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 7-9 (2000), 1139-1148.
Quenching behavior for the solution of a nonlocal semilinear heat equation
We study the solution for the initial boundary value problem of a nonlocal semilinear heat equation. It is well-known that the solution quenches in finite time for certain choices of initial data. We first prove that there is only one quenching point for symmetric initial data with one peak. Then we derive a quenching rate estimate. It turns out that the constant in the quenching rate estimate depends on the solution itself due to the nonlocal nonlinearity.
Differential Integral Equations, Volume 13, Number 7-9 (2000), 1139-1148.
First available in Project Euclid: 21 December 2012
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Guo, Jong-Shenq. Quenching behavior for the solution of a nonlocal semilinear heat equation. Differential Integral Equations 13 (2000), no. 7-9, 1139--1148. https://projecteuclid.org/euclid.die/1356061214