Attractors for the strongly damped wave equation with p-Laplacian


Khanmamedov A. , ŞEN Z.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, ss.4436-4447, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 12
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1002/mma.4315
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Sayfa Sayıları: ss.4436-4447

Özet

This paper is concerned with the initial-boundary value problem for one-dimensional strongly damped wave equation involving p-Laplacian. For p > 2, we establish the existence of weak local attractors for this problem in W-0(1,p)(0,1) x L-2(0, 1) Under restriction 2 < p < 4, we prove that the semigroup, generated by the considered problem, possesses a strong global attractor in W-0(1,p)(0,1) x L-2(0, 1), and this attractor is a bounded subset of W-1,W-infinity(0,1) x W-1,W-infinity(0,1). Copyright (C) 2017 JohnWiley & Sons, Ltd.