Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation

Abbès Benaissa and Soufiane Mokeddem

Abstract and Applied Analysis, 2004, vol. 2004, 1-21

Abstract:

We prove the global existence and study decay properties of the solutions to the wave equation with a weak nonlinear dissipative term by constructing a stable set in H 1 ( ℝ n ) .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:975390

DOI: 10.1155/S1085337504401031

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