Caraballo Garrido, TomásColucci, Renato2015-04-082015-04-082014Caraballo Garrido, T. y Colucci, R. (2014). Pullback attractor for a non-linear evolution equation in elasticity. Nonlinear Analysis: Real World Applications, 15, 80-88.1468-12181468-1218http://hdl.handle.net/11441/23701We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing sets is first proved in several spaces, and owing to the compactness of some inclusions between Sobolev spaces, we can then ensure the existence of a family of compact absorbing sets in the pullback sense and, as a consequence, the existence of a pullback attractor.application/pdfengAtribución-NoComercial-SinDerivadas 4.0 Españahttp://creativecommons.org/licenses/by-nc-nd/4.0Pullback attractorphase transitionspullback absorbing familytwo-parameter semigroupPullback attractor for a non-linear evolution equation in elasticityinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1016/j.nonrwa.2013.06.002