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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.)

STRONGLY DAMPED WAVE EQUATION AND ITS YOSIDA APPROXIMATIONS

Author(s):
Bortolan, Matheus C. [1] ; Carvalho, Alexandre N. [2]
Total Authors: 2
Affiliation:
[1] Univ Fed Santa Catarina, Dept Matemat, Campus Reitor Joao David Ferreira Lima, BR-88040900 Florianopolis, SC - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 46, n. 2, p. 563-602, DEC 2015.
Web of Science Citations: 0
Abstract

In this work we study the continuity for the family of global attractors of the equations u(tt) - Delta u - Delta u(t) - epsilon Delta u(tt) = f(u) at epsilon = 0 when Omega is a bounded smooth domain of R-n, with n >= 3, and the nonlinearity f satisfies a subcritical growth condition. Also, we obtain an uniform bound for the fractal dimension of these global attractors. (AU)

FAPESP's process: 12/23724-1 - Asymptotical dynamics of evolution processes
Grantee:Matheus Cheque Bortolan
Support Opportunities: Scholarships in Brazil - Post-Doctoral