Differential and Integral Equations
- Differential Integral Equations
- Volume 30, Number 5/6 (2017), 443-462.
Pullback dynamics of non-autonomous wave equations with acoustic boundary condition
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.
Differential Integral Equations, Volume 30, Number 5/6 (2017), 443-462.
First available in Project Euclid: 18 March 2017
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Ma, To Fu; Souza, Thales Maier. Pullback dynamics of non-autonomous wave equations with acoustic boundary condition. Differential Integral Equations 30 (2017), no. 5/6, 443--462. https://projecteuclid.org/euclid.die/1489802421