Open AccessGlobal Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation
Author(s) -
Yinxia Wang,
Hengjun Zhao
Publication year - 2013
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2013/364165
Subject(s) - initial value problem , algorithm , cauchy distribution , mathematics , computer science , mathematical analysis
We investigate the Cauchy problem for the generalized damped Boussinesq equation. Under small condition on the initial value, we prove the global existence and optimal decay estimate of solutions for all space dimensions n≥1. Moreover, when n≥2, we show that the solution can be approximated by the linear solution as time tends to infinity
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