Asymptotic Periodicity for Strongly Damped Wave Equations-Reference-Cited by-同舟云学术

Asymptotic Periodicity for Strongly Damped Wave Equations

Published:2013 Issue: Volume:2013 Page:1-14
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Cuevas Claudio¹,Lizama Carlos²^ORCID,Soto Herme³

Affiliation:

1. Departamento de Matemática, Universidade Federal de Pernambuco 50540-740 Recife, PE, Brazil

2. Departamento de Matemática, Universidad de Santiago de Chile, Casilla 307, Correo 2, Santiago, Chile

3. Departamento de Matemática y Estadística, Universidad de La Frontera, Casilla 54-D, Temuco, Chile

Abstract

This work deals with the existence and uniqueness of asymptotically almost-periodic mild solutions for a class of strongly damped semilinear wave equations.

Funder

The National Commission for Scientific and Technological Research-CHILE

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/308616.pdf

Reference38 articles.

1. Lecture Notes in Mathematics,1981

2. Attractors for strongly damped wave equations with critical nonlinearities

3. Proof of extensions of two conjectures on structural damping for elastic systems

4. Characterization of domains of fractional powers of certain operators arising in elastic systems, and applications

5. Proof of two conjectures by G. Chen and D. L. Russell on structural damping for elastic systems

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