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Low regularity conservation laws for the Benjamin-Ono equation

Published 3 Dec 2018 in math.AP | (1812.00505v2)

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 $Hs$ 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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Authors (1)

  1. Blaine Talbut 

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