Convergence to equilibrium of relatively compact solutions to evolution equations

We prove convergence to equilibrium for relatively compact solutions to an abstract evolution equation satisfying energy estimates near the omega-limit set. These energy estimates generalize Lojasiewicz and Kurdyka-Lojasiewicz-Simon gradient inequalities. We apply the abstract results to severa...

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Bibliographic Details
Main Author: Tomas Barta
Format: Article
Language:English
Published: Texas State University 2014-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/81/abstr.html