Exponential stability for a plate equation with p‐Laplacian and memory terms |
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| Authors: | D Andrade M A Jorge Silva T F Ma |
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| Institution: | 1. Departamento de Matemática, Universidade Estadual de Maringá, , 87020‐900 Maringá, PR, Brazil;2. Departamento de Matemática, Universidade Estadual de Londrina, , 86051‐990 Londrina, PR, Brazil;3. Instituto de Ciências Matemáticas e de Computa??o, Universidade de S?o Paulo, , 13560‐970 S?o Carlos, SP, Brazil |
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| Abstract: | This paper is concerned with the energy decay for a class of plate equations with memory and lower order perturbation of p‐Laplacian type, ![urn:x-wiley:01704214:media:mma1552:mma1552-math-0001]( "urn:x-wiley:01704214:media:mma1552:mma1552-math-0001") with simply supported boundary condition, where Ω is a bounded domain of  , g > 0 is a memory kernel that decays exponentially and f(u) is a nonlinear perturbation. This kind of problem without the memory term models elastoplastic flows. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | plate equation p‐Laplacian memory elastoplastic flows energy decay |
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