Nonhomogeneous Dirichlet Navier—Stokes Problems in Low Regularity Lp Sobolev Spaces

The Cauchy problem for Kawahara equation

The Cauchy problem for Kawahara equation in Sobolev spaces with low regularity

✍ Wei Yan; Yongsheng Li 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 214 KB

This paper is devoted to studying the initial-value problem of the Kawahara equation. By establishing some crucial bilinear estimates related to the Bourgain spaces X s,b (R 2 ) introduced by Bourgain and homogeneous Bourgain spaces, which is defined in this paper and using I-method as well as L 2 c