多重非线性抛物方程组解的爆破

Blowup of Solutions for a Class of Doubly Nonlinear Parabolic Equations

本文研究了一类多重非线性抛物方程组解的爆破,利用修正的Levine凸性方法,对齐次Dirichlet边界和非线性项和初始条件的适当条件下,给出了解爆破时间的充分条件。

This paper is concerned with a class of doubly nonlinear parabolic systems. Under the homogeneous Dirichlet conditions and suitable conditions on the nonlinearity and certain initial datum, a sufficient condition for finite time blowup of its solution in a bounded domain is gave by using a modification of Levine’s concavity method.