The Periodic Boundary Value Problem for a Quasilinear Evolution Equation in Besov Spaces
This paper is concerned with the periodic boundary value problem for a quasilinear evolution equation of the following type: ∂tu+f(u)∂xu+F(u)=0, x∈T=R/2πZ, t∈R+. Under some conditions, we prove that this equation is locally well-posed in Besov space Bp,rs(T). Furthermore, we study the continuity of...
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Main Authors: | Yun Wu, Zhengrong Liu, Xiang Zhang |
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Format: | Article |
Language: | English |
Published: |
Wiley
2015-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2015/862593 |
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