Open AccessSharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation
Author(s) -
Junsheng Zhao,
LI Shu-feng
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/164303
Subject(s) - klein–gordon equation , boundary value problem , mathematics , nonlinear system , initial value problem , mathematical analysis , relation (database) , physics , computer science , quantum mechanics , database
We study the initial boundary value problem of the nonlinear Klein-Gordonequation. First we introduce a family of potential wells. By using them, we obtain anew existence theorem of global solutions and show the blow-up in finite time of solutions.Especially the relation between the above two phenomena is derived as a sharp condition
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