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2007•Mathematica ApplicataRequires access

Blow-up of Solutions for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation of Higher Order

Yanping Wang

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Abstract

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem.

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What this paper is about

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem.

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Available abstract

This paper gives the sufficient conditions of blow-up of the solution of a nonlinear hyperbolic equation with the initial boundary value conditions in finite time and proves the existence and uniqueness of the local solution of the problem.

Key concepts: Mathematics, Uniqueness, Hyperbolic partial differential equation, Boundary value problem, Nonlinear system, Mathematical analysis, Initial value problem, Order (exchange)

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Blow-up of Solutions for an Initial Boundary Value Problem for a Nonlinear Hyperbolic Equation of Higher Order — Research Paper | ScholarLens