Low regularity conservation laws for the Benjamin–Ono equation
نویسندگان
چکیده
We obtain conservation laws at negative regularity for the Benjamin-Ono equation on line and circle. These conserved quantities control $H^s$ norm of solution $-\frac{1}{2} < s 0$. The are obtained from a study perturbation determinant associated to Lax pair equation.
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2021
ISSN: ['1073-2780', '1945-001X']
DOI: https://doi.org/10.4310/mrl.2021.v28.n3.a11