Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation

Yu-Zhu Wang

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

Abstract: We consider the Cauchy problem for the damped nonlinear hyperbolic equation in n‐dimensional space. Under small condition on the initial value, the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces are obtained by the contraction mapping principle.

Date: 2013
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https://doi.org/10.1155/2013/353757

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:353757

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