带有非局部性的非线性热方程解的爆破性质

On Blow-up Properties of Solution for Nonlinear Heat Equation with Nonlocal Term

应用非线性变换以及热方程的性质,证明了带有非局部性项和梯度项的热方程初边值问题存在常数δ*∈(0,∞),使当δ>δ*时问题的解在有限时间内产生爆破.

Using a nonlinear transform and the properties of solutions to the linear heat equation, we testify a nonlinear heat equation with a nonlocal term and a convection term. It shows that there exists a solution to the equation blowing up in definite time.