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

Year 2020, Volume: 10 Issue: 2, 471 - 482, 01.03.2020

Z. Şen

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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