Complex-valued solutions of the Benjamin-Ono equation
Analysis of PDEs
2007-05-23 v1
Authors:
Alexandru D. Ionescu Carlos E. Kenig
Abstract
We prove that the Benjamin-Ono initial-value problem is locally well-posed for small, complex-valued data in Sobolev spaces with special low-frequency structure.
Cite
@article{arxiv.math/0605158,
title = {Complex-valued solutions of the Benjamin-Ono equation},
author = {Alexandru D. Ionescu Carlos E. Kenig},
journal= {arXiv preprint arXiv:math/0605158},
year = {2007}
}
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