Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations

Name: Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
Author: Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

İsim	Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
Yazar	Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.
Basım Tarihi:	2014-01
Basım Yeri	- Elsevier
Konu	Nonlocal Cauchy problem, Global existence, Blow-up, Potential well, Boussinesq equation, Double dispersion equation
Tür	Süreli Yayın
Dil	İngilizce
Dijital	Evet
Yazma	Hayır
Kütüphane:	Özyeğin Üniversitesi
Demirbaş Numarası	0362-546X
Kayıt Numarası	40f4b91b-ec22-4068-a2f4-6a6902cab608
Lokasyon	Natural and Mathematical Sciences
Tarih	2014-01
Notlar	TÜBİTAK
Örnek Metin	In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two pseudo-differential operators L and B. We establish thresholds for global existence versus blow-up using the potential well method which relies essentially on the ideas suggested by Payne and Sattinger. Our results improve the global existence and blow-up results given in the literature for the present class of nonlocal nonlinear wave equations and cover those given for many well-known nonlinear dispersive wave equations such as the so-called double-dispersion equation and the traditional Boussinesq-type equations, as special cases.
DOI	10.1016/j.na.2013.09.013
Cilt	94

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Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations

Yazar Erbay, Hüsnü Ata, Erbay, Saadet, Erkip, A.

Basım Tarihi 2014-01

Basım Yeri - Elsevier

Konu Nonlocal Cauchy problem, Global existence, Blow-up, Potential well, Boussinesq equation, Double dispersion equation

Tür Süreli Yayın

Dil İngilizce

Dijital Evet

Yazma Hayır

Kütüphane Özyeğin Üniversitesi

Demirbaş Numarası 0362-546X

Kayıt Numarası 40f4b91b-ec22-4068-a2f4-6a6902cab608

Lokasyon Natural and Mathematical Sciences

Tarih 2014-01

Notlar TÜBİTAK

Örnek Metin In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two pseudo-differential operators L and B. We establish thresholds for global existence versus blow-up using the potential well method which relies essentially on the ideas suggested by Payne and Sattinger. Our results improve the global existence and blow-up results given in the literature for the present class of nonlocal nonlinear wave equations and cover those given for many well-known nonlinear dispersive wave equations such as the so-called double-dispersion equation and the traditional Boussinesq-type equations, as special cases.

DOI 10.1016/j.na.2013.09.013

Cilt 94