文章引用说明 更多>> (返回到该文章)

Korpusov, M.O. (2013) Solution blow-up for a class of parabolic equations with double nonlinearity. Sbornik: Mathematics, 204, 323-346.

被以下文章引用:

• 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.