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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Exponential stability for a plate equation with p-Laplacian and memory terms

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Author(s):
Andrade, D. [1] ; Jorge Silva, M. A. [2] ; Ma, T. F. [3]
Total Authors: 3
Affiliation:
[1] Univ Estadual Maringa, Dept Matemat, BR-87020900 Maringa, Parana - Brazil
[2] Univ Estadual Londrina, Dept Matemat, BR-86051990 Londrina, PR - Brazil
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 35, n. 4, p. 417-426, MAR 15 2012.
Web of Science Citations: 21
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, utt+?2u-?pu+?0tg(t-s)?u(s)ds-?ut+f(u)=0inOXR+, with simply supported boundary condition, where O is a bounded domain of RN, 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 (c) 2012 John Wiley \& Sons, Ltd. (AU)

FAPESP's process: 08/00123-7 - Asymptotic stability of nonlocally defined evolution equations.
Grantee:Marcio Antonio Jorge da Silva
Support type: Scholarships in Brazil - Doctorate
FAPESP's process: 10/12202-9 - Asymptotic stability of nonlinear hyperbolic equations
Grantee:Ma To Fu
Support type: Regular Research Grants