Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping

SONG Chang-ming

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SONG Chang-ming. Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping[J]. Applied Mathematics and Mechanics, 2006, 27(7): 852-858.

Citation:

SONG Chang-ming. Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping[J]. Applied Mathematics and Mechanics, 2006, 27(7): 852-858.

Citation:

SONG Chang-ming. Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping[J]. Applied Mathematics and Mechanics, 2006, 27(7): 852-858.

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Nonexistence of Global Solutions of a Nonlinear Hyperbolic Equation With Material Damping

SONG Chang-ming^1,2

1.
Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, P. R. China;

Received Date: 2004-06-30
Rev Recd Date: 2006-03-07
Publish Date: 2006-07-15

Abstract

Abstract

Concerns with the nonexistence of global solutions to the initial boundary value problem for a nonlinear hyperbolic equation with material damping. Nonexistence theorems of global solutions to the above problem are proved by the energy method, Jensen inequality and the concavity method, respectively. As applications of our main results, three examples are given.
- nonexistence of global solution,
- initial boundary value problem,
- nonlinear hyperbolic equation,
- material damping

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References(6)

References

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