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

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,attractors

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