ATTRACTORS FOR WEAKLY DAMPED BEAM EQUATIONS WITH p... - BV FAPESP
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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.)

ATTRACTORS FOR WEAKLY DAMPED BEAM EQUATIONS WITH p-LAPLACIAN

Author(s):
Ma, T. F. [1] ; Pelicer, M. L. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo. Inst Ciencias Matemat & Comp
[2] Univ Estadual Maringa. Dept Ciencias
Total Affiliations: 2
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; n. S, SI, p. 525-534, NOV 2013.
Web of Science Citations: 0
Abstract

This paper is concerned with a class of weakly damped one-dimensional beam equations with lower order perturbation of p-Laplacian type u(tt) + u(xxxx) - (sigma(u(x))) + ku(t) + f(u) = h in (0, L) x R+, where sigma(z) = vertical bar z vertical bar(p-2) z, p >= 2, k > 0 and f (u) and h(x) are forcing terms. Well-posedness, exponential stability and existence of a finite-dimensional attractor are proved. (AU)

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