A strong global attractor for the 3D wave equation with displacement dependent damping
APPLIED MATHEMATICS LETTERS, cilt.23, sa.8, ss.928-934, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 8
- Basım Tarihi: 2010
- Doi Numarası: 10.1016/j.aml.2010.04.013
- Dergi Adı: APPLIED MATHEMATICS LETTERS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.928-934
- Hacettepe Üniversitesi Adresli: Evet
Özet
We prove that if the displacement coefficient of the damping of the 3D wave equation is a positive constant on the interval (-l, l), for large enough l > 0, then this equation has a strong global attractor in H(0)(1)(Omega) x L(2)(Omega). We also show that this attractor is a bounded subset of H(2)(Omega) boolean AND H(0)(1)(Omega) x H(0)(1)(Omega). (c) 2010 Elsevier Ltd. All rights reserved.