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A sharp ultimate bound of the solutions to some second-order evolution equations with nonlinear damping

Published online by Cambridge University Press:  22 July 2015

Faouzia Aloui*
Affiliation:
UPMC Paris 6, UMR 7598, Laboratoire Jacques Louis Lions, 4 place Jussieu, 75252 Paris Cedex 05, France, (aloui@ann.jussieu.fr)

Abstract

We establish a sharp ultimate bound of the solution to a second-order dissipative nonlinear equation with bounded forcing term.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2015 

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