On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations
Analysis of PDEs
2020-06-29 v1
Abstract
A family of dispersive equations is considered which links a higher dimensional Benjamin-Ono equation and the Zakharov-Kuznetsov equation. For these fractional Zakharov-Kuznetsov equations new well-posedness results are proved using transversality and localization of time to small frequency dependent time intervals.
Cite
@article{arxiv.1903.02027,
title = {On the Cauchy problem for higher dimensional Benjamin-Ono and Zakharov-Kuznetsov equations},
author = {Robert Schippa},
journal= {arXiv preprint arXiv:1903.02027},
year = {2020}
}