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Abstract
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Abstract and Applied Analysis
Volume 2004 (2004), Issue 11, Pages 935-955
doi:10.1155/S1085337504401031

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

Département de Mathematiques, Faculté des Sciences, Université Djillali Liabés, B. P. 89, Sidi Bel Abbés 22000, Algeria

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 H1(ℝn).