Title of article :
LONG TIME BEHAVIOR OF THE STRONGLY DAMPED WAVE EQUATION WITH p-LAPLACIAN IN R n
Author/Authors :
SEN, Z Hacettepe University - Faculty of Science - Department of Mathematics - Ankara, Turke
Abstract :
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
W1,p (R) ∩ H1
(R)
× L
2
(R) is proved
Keywords :
wave equation , p-Laplacian , attractor
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
