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Uniform decay for a von Karman plate equation with a boundary memory condition
Author(s) -
Yeoul Park Jong,
Hye Park Sun
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.663
Subject(s) - mathematics , galerkin method , mathematical analysis , boundary (topology) , boundary value problem , lyapunov function , föppl–von kármán equations , finite element method , nonlinear system , physics , quantum mechanics , thermodynamics
We consider a von Karman plate equation with a boundary memory condition. We prove the existence of solutions using the Galerkin method and then investigate the asymptotic behaviour of the corresponding solutions by choosing suitable Lyapunov functional. Copyright © 2005 John Wiley & Sons, Ltd.
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