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


Sen Z.

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, cilt.10, ss.471-482, 2020 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 10 Konu: 2
  • Basım Tarihi: 2020
  • Dergi Adı: TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS
  • Sayfa Sayıları: ss.471-482

Özet

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.