Determining functionals for the strongly damped nonlinear wave equation
Küçük Resim Yok
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We consider the existence of a wide collection of finite sets of functionals on the phase space H-2(0,1) boolean AND H-0(1))(0,1) that completely determines asymptotic behavior of solutions to the strongly damped nonlinear wave equation. The proof makes use of energy methods and the concept of the completeness defect. We also show that the number of determining nodes is two, that is, the asymptotic behavior of solutions is determined by the values of two sufficiently close points in the interval [0, 1].
Açıklama
Anahtar Kelimeler
Nonlinear Wave Equation, Strong Damping Term, Asymptotic Behavior, Completeness Defect, Close Points in The Interval
Kaynak
Journal of Dynamical Systems and Geometric Theories
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
5
Sayı
2
