Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces
Analysis of PDEs
2020-08-14 v1
Abstract
We consider the Benjamin-Ono equation on the real line for initial data in weighted Sobolev spaces. After the application of the gauge transform, the flow is shown to be Lipschitz continuous and to present a nonlinear smoothing effect. As a consequence, unconditional uniqueness for the Benjamin-Ono equation is proved.
Keywords
Cite
@article{arxiv.2008.05508,
title = {Nonlinear smoothing and unconditional uniqueness for the Benjamin-Ono equation in weighted Sobolev spaces},
author = {Simão Correia},
journal= {arXiv preprint arXiv:2008.05508},
year = {2020}
}
Comments
12 pages