On the strongly damped wave equation with memory Francesco Di PlinioVittorino PataSergey Zelik 35B3335B4035L0545K05strongly damped wave equation with memorycritical and supercritical nonlinearitiesglobal attractorsoptimal regularity A semilinear strongly damped wave equation with memory is considered in the past history framework. The existence of global attractors of optimal regularity is established, both for critical and supercritical nonlinearities, under a necessary and sufficient condition on the memory kernel. Indiana University Mathematics Journal 2008 text pdf 10.1512/iumj.2008.57.3266 10.1512/iumj.2008.57.3266 en Indiana Univ. Math. J. 57 (2008) 757 - 780 state-of-the-art mathematics http://iumj.org/access/