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• W2065360282 abstract "We estimate the rate of decay of the difference between a solution and its limiting equilibrium for the following abstract second order problemu¨(t)+g(u˙(t))+M(u(t))=0,t∈R+, where M is the gradient operator of a non-negative functional and g is a non-linear damping operator, under some conditions relating the Łojasiewicz exponent of the functional and the growth of the damping around the origin. The main result is applied to non-linear wave or plate equations, in some cases direct constructive proofs of the Łojasiewicz gradient inequality are given, applicable to some non-analytic functionals in presence of multiple critical points. At the end similar results are obtained when a fast decaying source term is added in the right-hand side." @default.
• W2065360282 created "2016-06-24" @default.
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• W2065360282 date "2011-05-01" @default.
• W2065360282 modified "2023-10-16" @default.
• W2065360282 title "Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy" @default.
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• W2065360282 doi "https://doi.org/10.1016/j.jfa.2011.02.010" @default.
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