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Asymptotic stability for nonautonomous dissipative wave systems
Author(s) -
Pucci Patrizia,
Serrin James
Publication year - 1996
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/(sici)1097-0312(199602)49:2<177::aid-cpa3>3.0.co;2-b
Subject(s) - dissipative system , dissipation , mathematics , infinity , nonlinear system , stability (learning theory) , mathematical analysis , action (physics) , exponential stability , order (exchange) , classical mechanics , physics , quantum mechanics , machine learning , computer science , finance , economics
We study the problem of asymptotic stability, as time tends to infinity, of solutions of dissipative wave systems, governed by time‐dependent nonlinear damping forces and subject to the action of strongly nonlinear potential energies. In the final part of the paper we also consider the case of polyharmonic wave operators and higher‐order dissipation terms. © 1996 John Wiley & Sons, Inc.