ATTRACTORS FOR SEMILINEAR WAVE EQUATIONS WITH LOCALIZED DAMPING AND EXTERNAL FORCES

Autor(es)

Ma, To Fu ^[1] ; Nicanor Seminario-Huertas, Paulo ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Math & Comp Sci, BR-13566590 Sao Carlos, SP - Brazil

^[2] Univ Ricardo Palma, Fac Engn, Lima - Peru

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 4, p. 2219-2233, APR 2020.
• Citações Web of Science: 0

Resumo

This paper is concerned with long-time dynamics of semilinear wave equations defined on bounded domains of R-3 with cubic nonlinear terms and locally distributed damping. The existence of regular finite-dimensional global attractors established by Chueshov, Lasiecka and Toundykov (2008) reflects a good deal of the current state of the art on this matter. Our contribution is threefold. First, we prove uniform boundedness of attractors with respect to a forcing parameter. Then, we study the continuity of attractors with respect to the parameter in a residual dense set. Finally, we show the existence of generalized exponential attractors. These aspects were not previously considered for wave equations with localized damping. (AU)

• Processo FAPESP: 19/11824-0 - Dinâmica de equações de ondas semi lineares com dissipação localizada
• Beneficiário: Ma To Fu
• Modalidade de apoio: Auxílio à Pesquisa - Regular