The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces
Joint Authors
Wu, Yun
Liu, Zhengrong
Zhang, Xiang
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-06-22
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper is concerned with the periodic boundary value problem for a quasilinear evolution equation of the following type: ∂ t u + f ( u ) ∂ x u + F ( u ) = 0 , x ∈ T = R / 2 π Z , t ∈ R + .
Under some conditions, we prove that this equation is locally well-posed in Besov space B p , r s ( T ) .
Furthermore, we study the continuity of the solution map for this equation in B 2 , r s ( T ) .
Our work improves some earlier results.
American Psychological Association (APA)
Wu, Yun& Liu, Zhengrong& Zhang, Xiang. 2015. The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068331
Modern Language Association (MLA)
Wu, Yun…[et al.]. The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces. Journal of Function Spaces No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1068331
American Medical Association (AMA)
Wu, Yun& Liu, Zhengrong& Zhang, Xiang. The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1068331
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068331
