Existence of Global Solutions for a Multidimensional Boussinesq-Type Equation with Supercritical Initial Energy

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Tarih

2012

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

Sayı

Künye