Low regularity conservation laws for the Benjamin-Ono equation

Blaine Talbut

Low regularity conservation laws for the Benjamin-Ono equation

Analysis of PDEs 2019-05-15 v2

Authors: Blaine Talbut

Abstract

We obtain conservation laws at negative regularity for the Benjamin-Ono equation on the line and on the circle. These conserved quantities control the $H^s$ norm of the solution for $-\frac{1}{2} < s < 0$ . The conservation laws are obtained from a study of the perturbation determinant associated to the Lax pair of the equation.

Keywords

benjamin-ono equation

Cite

@article{arxiv.1812.00505,
  title  = {Low regularity conservation laws for the Benjamin-Ono equation},
  author = {Blaine Talbut},
  journal= {arXiv preprint arXiv:1812.00505},
  year   = {2019}
}

Comments

11 pages; minor edits

Related papers

View all related →