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Low regularity conservation laws for the Benjamin–Ono equation
Mathematical Research Letters ( IF 1 ) Pub Date : 2021-05-01 , DOI: 10.4310/mrl.2021.v28.n3.a11
Blaine Talbut 1
Affiliation  

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 $-\frac{1}{2} \lt s \lt 0$. The conservation laws are obtained from a study of the perturbation determinant associated to the Lax pair of the equation.

中文翻译:

本杰明-小野方程的低正则守恒定律

我们在直线和圆上获得了 Benjamin-Ono 方程的负正则守恒定律。这些守恒量控制着 $-\frac{1}{2} \lt s \lt 0$ 解的 $H^s$ 范数。守恒定律是通过研究与方程的 Lax 对相关的微扰行列式获得的。
更新日期:2021-06-02
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