Convergence and decay estimates for a class of second order dissipative equations involving a non-negative potential energy
Résumé
\begin{abstract} We estimate the rate of decay of the difference between a solution and its limiting equilibrium for the following abstract second order problem \begin{equation*} \ddot{u}(t) + g(\dot{u}(t))+ \cM(u(t))=0,\quad t\in\R_+ , \end{equation*} where $\cM$ is the gradient operator of a non-negative functional and $g$ is a nonlinear damping operator, under some conditions relating the Lojasiewicz exponent of the functional and the growth of the damping around the origin. \end{abstract}
Domaines
Analyse numérique [cs.NA]
Origine : Fichiers produits par l'(les) auteur(s)