标题:
多重非线性退化的p-Laplacian抛物方程组解的爆破Blowup of Solutions for a System of Doubly Nonlinear Degenerate Parabolic Equations with p-Laplacian
作者:
齐龙飞, 苏璟, 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:
《Advances in Applied Mathematics》, Vol.4 No.2, 2015-05-13
摘要:
本文研究了一类多重非线性退化的p-Laplacian抛物方程组解的爆破，利用修正的Levine凸性方法，在非线性项和初始条件的适当条件下，给出了解爆破时间的下界。This paper is concerned with a system of doubly nonlinear degenerate parabolic equations with p-Laplacian. We prove that, under suitable conditions on the nonlinearity and certain initial datum, the lower bound for the blowup time is given if blowup does occur by using a modification of Levine’s concavity method.