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Levine, H.A. and Payne, L.E. (1974) Nonexistence theorems for the heat equations with nonlinear boundary conditions and for the porous medium equation backward in time. Journal of Differential Equations, 16, 319-334.

被以下文章引用:

• 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.