Global existence and asymptotic behavior of solutions to the generalized damped boussinesq equation

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Authors: Yinxia Wang and Hengjun Zhao
Date: Annual 2013
Publisher: Hindawi Limited
Document Type: Report
Length: 4,251 words
Lexile Measure: 1760L

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Abstract :

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 [greater than or equal to] 1. Moreover, when n [greater than or equal to] 2, we show that the solution can be approximated by the linear solution as time tends to infinity.

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Gale Document Number: GALE|A368957200