TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, sa.2, ss.471-482, 2020 (ESCI)
In this paper, the initial value problem for the one dimensional strongly damped wave equation with p-Laplacian and localized damping in the whole space is concerned. Under the condition 2 < p < 4, the existence of weak local attractors for this problem in (W-1,W-p (R) boolean AND H-1 (R)) x L-2 (R) is proved.