Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.19613 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909213234561024 |
|---|---|
| author | Fonseca, Germán Riaño, Oscar Rodriguez-Blanco, Guillermo |
| author_facet | Fonseca, Germán Riaño, Oscar Rodriguez-Blanco, Guillermo |
| contents | We consider the initial value problem associated to the low dispersion fractionary Benjamin-Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply that those results above are sharp. Hence, arbitrary polynomial type decay is not preserved by the fBBM flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19613 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces Fonseca, Germán Riaño, Oscar Rodriguez-Blanco, Guillermo Analysis of PDEs Primary: 35B05. Secondary: 35B60 We consider the initial value problem associated to the low dispersion fractionary Benjamin-Bona-Mahony equation, fBBM. Our aim is to establish local persistence results in weighted Sobolev spaces and to obtain unique continuation results that imply that those results above are sharp. Hence, arbitrary polynomial type decay is not preserved by the fBBM flow. |
| title | On the persistence properties for the fractionary BBM equation with low dispersion in weighted Sobolev spaces |
| topic | Analysis of PDEs Primary: 35B05. Secondary: 35B60 |
| url | https://arxiv.org/abs/2405.19613 |