Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (8): 713-721.

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BLOW-UP OF SOLUTIONS OF NONLINEAR PSEUDO-HYPERBOLIC EQUATIONS OF GENERALIZED NERVE CONDUCTION TYPE

Zhang Jian   

  1. Sichuan Normal University.Chengdu
  • Received:1988-05-27 Online:1989-08-18 Published:1989-08-18

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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