Low regularity conservation laws for the Benjamin–Ono equation

@article{Talbut2018LowRC,
  title={Low regularity conservation laws for the Benjamin–Ono equation},
  author={Blaine Talbut},
  journal={arXiv: Analysis of PDEs},
  year={2018}
}
  • Blaine Talbut
  • Published 3 December 2018
  • Mathematics, Physics
  • arXiv: Analysis of PDEs
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. 
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