标题:
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
作者:
苏璟, 齐龙飞, 呼青英
关键字:
爆破, 多重非线性抛物方程组, Levine凸性方法Blowup of Solution, Doubly Nonlinear Parabolic Equations, Levine’s Concavity Method
期刊名称:
《Pure Mathematics》, Vol.5 No.2, 2015-03-12
摘要:
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.