摘要
本文讨论了一类半线性抛物型方程,具有第三类非线性边界条件的初边值问题。在某些假设条件下,证明了其解在有限时间内爆破。
This paper discussed the initial—boundary value problem under the third nonlinear boundary condition for a kind of semilinear parabolic equation.It is proved that the blowing up of the solution is obtained in the difinite time under some assumed condition.
关键词
半线性
抛物型方程
解
BLOW-UP
semilinear parabolic equation
initial-boundary problem
blow up of the solution
