Long time behavior of semilinear wave equation with localized interior damping term under acoustic boundary condition

ŞEN Z., YAYLA S.

Japan Journal of Industrial and Applied Mathematics, cilt.40, sa.2, ss.1221-1257, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s13160-023-00571-0
  • Dergi Adı: Japan Journal of Industrial and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1221-1257
  • Anahtar Kelimeler: Wave equation, Global attractor, Acoustic boundary condition
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This paper is concerned with the long time dynamics of the semilinear wave equation including localized interior damping term under acoustic boundary conditions. With appropriate assumptions, the existence of a global attractor for the semigroup generated by the considered problem is proved. Moreover, imposing more strict conditions on the nonlinearity in the equation, the regularity and finite dimensionality of the attractor are established.