We prove the exponential decay in the case , as time goes to infinity, of regular solutions for the nonlinear beam equation with memory and weak damping in a noncylindrical domain of under suitable hypothesis on the scalar functions and , and where is a positive constant. We establish existence and uniqueness of regular solutions for any .
"Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary." Abstr. Appl. Anal. 2005 (8) 901 - 919, 16 October 2005. https://doi.org/10.1155/AAA.2005.901