LONG TIME BEHAVIOR OF THE STRONGLY DAMPED WAVE EQUATION WITH p-LAPLACIAN IN ℝn

LONG TIME BEHAVIOR OF THE STRONGLY DAMPED WAVE EQUATION WITH p-LAPLACIAN IN ℝⁿ

Z. Şen

[PDF]

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 W^1;p (R) \ H¹ (R) L² (R) is proved.

Keywords

wave equation, p-Laplacian, attractors.