The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation
Joint Authors
Naumkin, Pavel I.
Hayashi, Nakao
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-35, 35 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-03-29
Country of Publication
Egypt
No. of Pages
35
Main Subjects
Abstract EN
We study the initial value problem for the quadratic nonlinear Klein-Gordon equation Lu=〈i∂x〉-1u¯2, (t,x)∈R×R, u(0,x)=u0(x), x∈R, where L=∂t+i〈i∂x〉 and 〈i∂x〉=1-∂x2̅.
Using the Shatah normal forms method, we obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous works.
American Psychological Association (APA)
Hayashi, Nakao& Naumkin, Pavel I.. 2010. The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-35.
https://search.emarefa.net/detail/BIM-476870
Modern Language Association (MLA)
Hayashi, Nakao& Naumkin, Pavel I.. The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation. Advances in Mathematical Physics No. 2010 (2010), pp.1-35.
https://search.emarefa.net/detail/BIM-476870
American Medical Association (AMA)
Hayashi, Nakao& Naumkin, Pavel I.. The Initial Value Problem for the Quadratic Nonlinear Klein-Gordon Equation. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-35.
https://search.emarefa.net/detail/BIM-476870
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-476870