Attractors for the strongly damped wave equation with p-Laplacian
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.40, no.12, pp.4436-4447, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 40 Issue: 12
- Publication Date: 2017
- Doi Number: 10.1002/mma.4315
- Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.4436-4447
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
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.