Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle
Analysis of PDEs
2020-06-29 v1
Abstract
New local well-posedness results for dispersion generalized Benjamin-Ono equations on the torus are proved. The family of equations under consideration links the Benjamin-Ono and Korteweg-de Vries equation. For sufficiently high dispersion global well-posedness in is derived.
Keywords
Cite
@article{arxiv.1906.01956,
title = {Local and global well-posedness of dispersion generalized Benjamin-Ono equations on the circle},
author = {Robert Schippa},
journal= {arXiv preprint arXiv:1906.01956},
year = {2020}
}
Comments
38 pages