Article ID Journal Published Year Pages File Type
4590289 Journal of Functional Analysis 2015 54 Pages PDF
Abstract

We consider the Korteweg–de Vries equation (KdV) on the real line, and prove that the smooth solutions satisfy a priori local in time HsHs bound in terms of the HsHs size of the initial data for s≥−45.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
A priori bounds for KdV equation below H−34
Authors
,