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

Author(s)

Andrade, D. ^[1] ; Jorge Silva, M. A. ^[2] ; Ma, T. F. ^[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

• 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 Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 10/12202-9 - Asymptotic stability of nonlinear hyperbolic equations
• Grantee: Ma To Fu
• Support Opportunities: Regular Research Grants