Production of the Fisher information for the Landau-Coulomb equation with L1 initial data
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917802155180032 |
|---|---|
| author | Desvillettes, Laurent Golding, William Gualdani, Maria Pia Loher, Amelie |
| author_facet | Desvillettes, Laurent Golding, William Gualdani, Maria Pia Loher, Amelie |
| contents | We consider the Landau-Coulomb equation for initial data with bounded mass, finite numbers of moments, and entropy. We show the existence of a global weak solution that has bounded Fisher information for positive times. This solution is therefore a global strong solution away from the initial time. We propose an alternative approach, based on already existing estimates, to the study of the appearance of Fisher information recently performed by Ji in [12]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_10765 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Production of the Fisher information for the Landau-Coulomb equation with L1 initial data Desvillettes, Laurent Golding, William Gualdani, Maria Pia Loher, Amelie Analysis of PDEs Mathematical Physics We consider the Landau-Coulomb equation for initial data with bounded mass, finite numbers of moments, and entropy. We show the existence of a global weak solution that has bounded Fisher information for positive times. This solution is therefore a global strong solution away from the initial time. We propose an alternative approach, based on already existing estimates, to the study of the appearance of Fisher information recently performed by Ji in [12]. |
| title | Production of the Fisher information for the Landau-Coulomb equation with L1 initial data |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2410.10765 |