Nonlinear smoothing and unconditional uniqueness for the Benjamin–Ono equation in weighted Sobolev spaces
نویسندگان
چکیده
We consider the Benjamin–Ono equation on real line for initial data in weighted Sobolev spaces. After application of gauge transform, flow is shown to be Lipschitz continuous and present a nonlinear smoothing effect. As consequence, unconditional uniqueness proved.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2021
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2020.112227