On the strongly damped wave equation with nonlinear damping and source terms.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Filippo Gazzola, Marco Squassina (2006)
Annales de l'I.H.P. Analyse non linéaire
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Ye, Yaojun (2007)
Differential Equations & Nonlinear Mechanics
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Alain Haraux (2001)
ESAIM: Control, Optimisation and Calculus of Variations
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If a second order semilinear conservative equation with esssentially oscillatory solutions such as the wave equation is perturbed by a possibly non monotone damping term which is effective in a non negligible sub-region for at least one sign of the velocity, all solutions of the perturbed system converge weakly to 0 as time tends to infinity. We present here a simple and natural method of proof of this kind of property, implying as a consequence some recent very general results of Judith...
Shuichi Kawashima, Yoshihiro Shibata (1995)
Czechoslovak Mathematical Journal
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Violaine Roussier (2004)
Annales de l'I.H.P. Analyse non linéaire
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