Smoothness of the Global Weak Solutions for a Kind of
Nonlinear Fourth Order Wave Equations

CHEN Yong-ming; XIEHai-ying; YANG Han

Volume 17 Issue 6

Dec. 2004

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Abstract

References

Journal of Southwest Jiaotong University > 2004 > 17(6): 758-760.

YUAN Feng, CHEN Qiu. Research on FEM Metacomputing Environment DPFEM[J]. Journal of Southwest Jiaotong University, 2001, 14(6): 655-658.

Citation:

CHEN Yong-ming, XIEHai-ying, YANG Han. Smoothness of the Global Weak Solutions for a Kind of Nonlinear Fourth Order Wave Equations[J]. Journal of Southwest Jiaotong University, 2004, 17(6): 758-760.

YUAN Feng, CHEN Qiu. Research on FEM Metacomputing Environment DPFEM[J]. Journal of Southwest Jiaotong University, 2001, 14(6): 655-658.

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Smoothness of the Global Weak Solutions for a Kind of Nonlinear Fourth Order Wave Equations

Publish Date: 25 Dec 2004

Abstract

Abstract

The initial boundary value problem of a kind of nonlinear fourth-order wave equations describing beam vibrations was studied. With Galerkin method, it is proved that the smoothness of the global weak solution can be improved if the smoothness of the initial value is improved. By virtue of Sobolev s embedding theorem, the global weak solutions become classic ones when the initial value is appropriately smooth.
- wave equation,
- global weak solution,
- Galerkin method,
- smoothness