广义神经传播型非线性拟双曲方程解的爆破
Blow-up of Solutions of Nonlinear Pseudo-Hyperbolic Equations of Generalized Nerve Conduction Type
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摘要: 本文讨论了广义神经传播型非线性拟双曲方程utt-Δut=F(x,t,u,∇u,ut,∇ut)分别具Neumann边界和Dirichlet边界的两类混合问题.在非线性部分F(x,t,u,∇u,u1,∇u1)和初值满足某些条件时,我们得到了解的爆破性质.Abstract: This paper deals with the two types of mixed problems with respect to Neumann boundary and Dirichlet boundary for nonlinear pseudo-hyperbolic equations of generalized nerve conduction type utt-Δut=F(x,t,u,∇u,ut,∇ut) when the nonlinear part F(x,t,u,∇u,ut,∇ut) and the initial values satisfy some conditions, the blow-up properties of the solytions are obtained.
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