The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-20
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space C([0,T);Hs(R)) ∩C1([0,T);Hs-1(R)) provided that the initial value lies in Hs(R) with s>3/2.
Meanwhile, we prove the existence of global weak solutions in L∞([0,∞);L2(R)) for the equation.
American Psychological Association (APA)
Wu, Meng. 2013. The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-485641
Modern Language Association (MLA)
Wu, Meng. The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-485641
American Medical Association (AMA)
Wu, Meng. The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-485641
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485641