A strong global attractor for the 3D wave equation with displacement dependent damping


Khanmamedov A.

APPLIED MATHEMATICS LETTERS, cilt.23, sa.8, ss.928-934, 2010 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Konu: 8
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.aml.2010.04.013
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.928-934

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.