Sharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the initial boundary value problem of the nonlinear Klein-Gordon equation.
First we introduce a family of potential wells.
By using them, we obtain a new 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.
American Psychological Association (APA)
Junsheng, Zhao& Shufeng, Li. 2009. Sharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-451005
Modern Language Association (MLA)
Junsheng, Zhao& Shufeng, Li. Sharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation. Mathematical Problems in Engineering No. 2009 (2009), pp.1-9.
https://search.emarefa.net/detail/BIM-451005
American Medical Association (AMA)
Junsheng, Zhao& Shufeng, Li. Sharp Condition for Global Existence and Blow-Up on Klein-Gordon Equation. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-9.
https://search.emarefa.net/detail/BIM-451005
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451005
