具广义非线性源的波动方程的高能爆破

Abstract

Abstract:

This paper investigates the finite time blow up of solutions for the initial boundary value problem of a class of some nonlinear wave equations with general nonlinearity at high initial energy level. By employing the classical concavity method, we establish some new sufficient conditions on initial data such that the solution with arbitrarily positive initial energy blows up in finite time.

Key words: Wave equation, High initial energy, Finite time blow up, General nonlinearity

CLC Number:

O175.29

Yanbing Yang,Wei Lian,Shaobin Huang,Runzhang Xu. Finite Time Blow up of Solutions for Nonlinear Wave Equation with General Nonlinearity for Arbitrarily Positive Initial Energy[J].Acta mathematica scientia,Series A, 2018, 38(6): 1239-1244.

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References 13

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Finite Time Blow up of Solutions for Nonlinear Wave Equation with General Nonlinearity for Arbitrarily Positive Initial Energy

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