The higher-dimensional Benjamin-Ono equation is locally well-posed in weighted Sobolev spaces up to an optimal decay threshold, with sharp unique continuation properties.
On Commutators of Singular Integrals and Bilinear Singular Integrals
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The IVP for a higher dimensional version of the Benjamin-Ono equation in weighted Sobolev spaces
The higher-dimensional Benjamin-Ono equation is locally well-posed in weighted Sobolev spaces up to an optimal decay threshold, with sharp unique continuation properties.