Existence of Global Solutions for a Multidimensional Boussinesq-Type Equation with Supercritical Initial Energy
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Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, global weak solutions of the multidimensional Boussinesq-type equation with power type nonlinearity gamma vertical bar u vertical bar(p), gamma > 0 and supercritical initial energy is given by potential well method. Classical energy methods can not guarantee the global existence for this type of nonlinearity. As is known the functional I (u) defined for potential well method includes only the initial displacement, and by use of sign invariance of this functional one can only prove the global existence for critical and subcritical initial energy. In the case of supercritical initial energy such a functional fails to prove the global existence. A new functional is defined, which contains not only initial displacement, but also initial velocity.
Açıklama
1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEY
Anahtar Kelimeler
Cauchy Problem, Global Existence, Supercritical Initial Energy
Kaynak
First International Conference on Analysis and Applied Mathematics (Icaam 2012)
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
1470
