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May/June 2017 Pullback dynamics of non-autonomous wave equations with acoustic boundarycondition
To Fu Ma, Thales Maier Souza
Differential Integral Equations 30(5/6): 443-462 (May/June 2017).

Abstract

This paper is concerned with a class of wave equations with acoustic boundary condition subject to non-autonomous external forces. Under some general assumptions, the problem generates a well-posed evolution process. Then, we establish the existence of a minimal pullback attractor within a universe of tempered sets defined by the forcing terms. We also, study the upper semicontinuity of attractors as the non-autonomous perturbation tends to zero. Our results allow unbounded external forces and nonlinearities with critical growth.

Citation

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To Fu Ma. Thales Maier Souza. "Pullback dynamics of non-autonomous wave equations with acoustic boundarycondition." Differential Integral Equations 30 (5/6) 443 - 462, May/June 2017.

Information

Published: May/June 2017
First available in Project Euclid: 18 March 2017

zbMATH: 06738556
MathSciNet: MR3626583

Subjects:
Primary: 35B41, 35L05, 37B55, 37L05

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 5/6 • May/June 2017
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