Year: 2003
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 49–61
Abstract
In the paper, the existence and uniqueness of the generalized global solution and the classical global solution of the initial boundary value problems for the nonlinear hyperbolic equation u_{tt} + k_1u_{xxxx} + k_2u_{xxxxt} + g(u_{xx})_{xx} = f(x, t) are proved by Galerkin method and the sufficient conditions of blow-up of solution in finite time are given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JPDE-5405
Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 49–61
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Nonlinear hyperbolic equation