Global attractors for the semilinear beam equation with localized viscosity


YAYLA S.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, ss.2588-2606, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1710-12
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2588-2606

Özet

In this paper, we deal with the semilinear beam equation with localized viscosity. Under mild conditions on the viscous coefficient, we establish the well-posedness and boundedness of the weak solutions. Then we prove that the semigroup generated by this problem has a smooth global attractor in H-3 (0, 1) x H-0(1) (0,1).