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2012•Journal of Zhengzhou UniversityRequires access

Blow-up of the Solution for a Class of Nonlinear Evolution Equation of Higher Order

Yanping Wang

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Abstract

The initial boundary value problem for a class of nonlinear hyperbolic equation of higher order was studied.The existence and uniqueness of the local generalized solution of the problem were proved by Galerkin method and the compactness argument.Moreover,the sufficient conditions of blow-up of the solution of the problem in finite time was given.

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What this paper is about

The initial boundary value problem for a class of nonlinear hyperbolic equation of higher order was studied.The existence and uniqueness of the local generalized solution of the problem were proved by Galerkin method and the compactness argument.Moreover,the sufficient conditions of blow-up of the solution of the problem in finite time was given.

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Available abstract

The initial boundary value problem for a class of nonlinear hyperbolic equation of higher order was studied.The existence and uniqueness of the local generalized solution of the problem were proved by Galerkin method and the compactness argument.Moreover,the sufficient conditions of blow-up of the solution of the problem in finite time was given.

Key concepts: Uniqueness, Mathematics, Class (philosophy), Nonlinear system, Compact space, Mathematical analysis, Galerkin method, Boundary value problem

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