Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order

CHEN Guo-wang; HOU Chang-shun

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CHEN Guo-wang, HOU Chang-shun. Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order[J]. Applied Mathematics and Mechanics, 2009, 30(3): 369-378.

Citation:

CHEN Guo-wang, HOU Chang-shun. Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order[J]. Applied Mathematics and Mechanics, 2009, 30(3): 369-378.

Citation:

CHEN Guo-wang, HOU Chang-shun. Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order[J]. Applied Mathematics and Mechanics, 2009, 30(3): 369-378.

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Initial Value Problem for a Class of Nonlinear Wave Equations of Fourth Order

CHEN Guo-wang¹,
HOU Chang-shun²

1.
Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China;

Received Date: 2008-08-11
Rev Recd Date: 2009-01-16
Publish Date: 2009-03-15

Abstract

Abstract

The existence and the uniqueness of the global generalized solution and the global classical solution to the initial value problem for a class of nonlinear wave equation of fourth order are studied in the fractional order Sobolev space by the contraction mapping principle and the extension theorem. The sufficient conditions for blow up of the solution to the above initial value problem are given.
- nonlinear wave equation of fourth order,
- initial value problem,
- global solution,
- blow up of solution

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References(16)

References

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