Electron. J. Diff. Equ.,
Vol. 2012 (2012), No. 96, pp. 111.
Existence and asymptotic behavior of solutions to the generalized
damped Boussinesq equation
Yinxia Wang
Abstract:
We consider the Cauchy problem for the ndimensional generalized
damped Boussinesq equation. Based on decay estimates of solutions to
the corresponding linear equation, we define a solution space with
time weighted norms. Under small condition on the initial value,
the existence and asymptotic behavior of global solutions
in the corresponding Sobolev spaces are established
by the contraction mapping principle.
Submitted May 31, 2012. Published June 10, 2012.
Math Subject Classifications: 35L30, 35L75.
Key Words: Generalized damped equation; global solution;
asymptotic behavior.
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Yinxia Wang
School of Mathematics and Information Sciences
North China University of Water Resources and Electric Power
Zhengzhou 450011, China
email: yinxia117@126.com

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