Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.13151 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929547510808576 |
|---|---|
| author | Shin, Wangseok |
| author_facet | Shin, Wangseok |
| contents | We consider the periodic dispersion generalized Benjamin-Ono equations with polynomial nonlinearity. We establish the nonlinear smoothing properties of these equations, according to which the difference between the solution and the linear evolution is smoother than the initial data. In addition, we establish new local well-posedness results for these equations when the dispersion is sufficiently large. Our method also improves known local well-posedness results for a class of non-integrable fifth-order KdV equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13151 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear smoothing for the periodic dispersion generalized Benjamin-Ono equations with polynomial nonlinearity Shin, Wangseok Analysis of PDEs We consider the periodic dispersion generalized Benjamin-Ono equations with polynomial nonlinearity. We establish the nonlinear smoothing properties of these equations, according to which the difference between the solution and the linear evolution is smoother than the initial data. In addition, we establish new local well-posedness results for these equations when the dispersion is sufficiently large. Our method also improves known local well-posedness results for a class of non-integrable fifth-order KdV equations. |
| title | Nonlinear smoothing for the periodic dispersion generalized Benjamin-Ono equations with polynomial nonlinearity |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2410.13151 |