Uniform stabilization of the Klein-Gordon system

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Maltepe Üniversitesi

Erişim Hakkı

CC0 1.0 Universal
info:eu-repo/semantics/openAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

We consider the Klein-Gordon system posed in an inhomogeneous medium ? with smooth boundary ?? subject to two localized dampings. The first one is of the type viscoelastic and is distributed around a neighborhood ? of the boundary according to the Geometric Control Condition. The second one is a frictional damping and we consider it hurting the geometric condition of control. We show that the energy of the system goes uniformly and exponentially to zero for all initial data of finite energy taken in bounded sets of finite energy phase-space. For this purpose, refined microlocal analysis arguments are considered by exploiting ideas due to Burq and Gérard [3].

Açıklama

Anahtar Kelimeler

Kaynak

Third International Conference of Mathematical Sciences

WoS Q Değeri

Scopus Q Değeri

Cilt

Sayı

Künye

Cavalcanti, M. M. (2019). Uniform stabilization of the Klein-Gordon system. Third International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.