Low regularity conservation laws for integrable PDE

We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.

Saved in:
Bibliographic Details
Published inGeometric and functional analysis Vol. 28; no. 4; pp. 1062 - 1090
Main Authors Killip, Rowan, Vişan, Monica, Zhang, Xiaoyi
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2018
Springer Nature B.V
Subjects
Analysis
Conservation laws
Mathematics
Mathematics and Statistics
Regularity
Online AccessGet full text

Cover

More Information
Summary:We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-018-0444-0