Ma, To FuMarín Rubio, PedroSurco Chuño, Christian Manuel2019-03-122019-03-122017-03-05Ma, T.F., Marín Rubio, P. y Surco Chuño, C.M. (2017). Dynamics of wave equations with moving boundary. Journal of Differential Equations, 262 (5), 3317-3342.0022-0396https://hdl.handle.net/11441/84150This paper is concerned with long-time dynamics of weakly damped semilinear wave equations defined on domains with moving boundary. Since the boundary is a function of the time variable the problem is intrinsically non-autonomous. Under the hypothesis that the lateral boundary is time-like, the solution operator of the problem generates an evolution process U(t, τ ) : Xτ → Xt, where Xt are timedependent Sobolev spaces. Then, by assuming the domains are expanding, we establish the existence of minimal pullback attractors with respect to a universe of tempered sets defined by the forcing terms. Our assumptions allow nonlinear perturbations with critical growth and unbounded time-dependent external forces.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Wave equationNon-cylindrical domainNon-autonomous systemPullback attractorCritical exponentinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.jde.2016.11.030