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...

Full description

Saved in:
Bibliographic Details
Main Authors: Yun Wu, Zhengrong Liu, Xiang Zhang
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/862593
Tags: Add Tag
No Tags, Be the first to tag this record!