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DECAY ESTIMATES FOR SOLUTIONS OF ABSTRACT WAVE EQUATIONS WITH GENERAL DAMPING FUNCTION

Publication at Faculty of Mathematics and Physics |
2016

Abstract

In this article we prove convergence to equilibrium and decay estimates for a class of damped abstract wave equations. We focus on the damping term to be as general as possible, including functions that oscillate between two positive functions in a neighborhood of the origin and/or behave differently in each direction.