Volume 6, 2001
|Page(s)||553 - 560|
|Published online||15 August 2002|
Remarks on weak stabilization of semilinear wave equations
Université Pierre et Marie Curie, Analyse Numérique, Tour 55-65
5 étage, 4 place Jussieu, 75252 Paris Cedex 05, France; email@example.com.
Revised: 11 November 2000
Revised: 4 May 2001
If a second order semilinear conservative equation with esssentially oscillatory solutions such as the wave equation is perturbed by a possibly non monotone damping term which is effective in a non negligible sub-region for at least one sign of the velocity, all solutions of the perturbed system converge weakly to 0 as time tends to infinity. We present here a simple and natural method of proof of this kind of property, implying as a consequence some recent very general results of Judith Vancostenoble.
Mathematics Subject Classification: 35B35 / 35L55 / 35L90
Key words: Weak stabilization / semilinear / wave equations.
© EDP Sciences, SMAI, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.