Differential equations with fractional derivatives and their applications
Semiclassical investigation of magneto-optical trapping with few light beams
Systems of partial differential equations and nonlinear elliptic equations
Author(s): |
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 |