Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 96, pp. 1-11.

Title: Existence and asymptotic behavior of solutions to the generalized
       damped Boussinesq equation

Author: Yinxia Wang (North China Univ., Zhengzhou, China)

Abstract:
 We consider the Cauchy problem for the  n-dimensional 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.