On a viscoelastic plate equation with history setting and perturbation of p-Laplacian type

Author(s)

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

Affiliation

^[1] Univ Estadual Londrina, Dept Matemat, BR-86051990 Londrina, PR - Brazil

^[2] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: IMA JOURNAL OF APPLIED MATHEMATICS; v. 78, n. 6, p. 1130-1146, DEC 2013.
• Web of Science Citations: 15

Abstract

This paper is concerned with a class of plate equations with memory in a history space setting and perturbations of p-Laplacian type u11+alpha Delta(2)u-Delta(p)u-integral(-)infinity (t) mu(t - s)Delta(2) u(s)ds - Delta u(t) + f(u) = h defined in a bounded domain of RN with simply supported boundary condition. Results on the well-posedness and asymptotic stability of the problem are proved. (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