Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities
type: Item
instance of: scholarly article
title: Instability of standing wave, global existence and blowup for the Klein-Gordon-Zakharov system with different-degree nonlinearities
zbMATH Open document ID: 1172.35009
author: Jian Zhang
author: Zaihui Gan
author: Boling Guo
published in: Journal of Differential Equations
publication date: 2009-05-19T00:00:00Z
review text: The paper uses variational arguments and concavity method to discuss existence and instability of standing wave as well as sharp threshold of global existence and blowup for the Klein-Gordon-Zakharov (KGZ) system with different degree nonlinearities in two and three space dimensions. The authors address the question of how small the Cauchy data are for the solution of the Cauchy problem to exist. Finally, a modified instability of standing wave for the KGZ system is established.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5555292
zbMATH Keywords: instability
zbMATH Keywords: variational arguments
zbMATH Keywords: concavity method
zbMATH Keywords: different degree nonlinearities
zbMATH Keywords: two and three space dimensions
MaRDI profile type: Publication
full work available at URL: j.jde.2009.03.003
OpenAlex ID: W2084935796
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DOI: 10.1016/J.JDE.2009.03.003
description: scientific article; zbMATH DE number 5555292