The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912330771595264 |
|---|---|
| author | Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan |
| author_facet | Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan |
| contents | This paper studies the Cauchy problem for the spatially inhomogeneous Landau equation with soft potential in the perturbative framework around the Maxwellian distribution. Under a smallness assumption on the initial datum with exponential decay in the velocity variable, we establish the optimal Gevrey Gelfand-Shilov regularizing effect for the solution to the Cauchy problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan Analysis of PDEs 35B65, 76P05, 82C40 This paper studies the Cauchy problem for the spatially inhomogeneous Landau equation with soft potential in the perturbative framework around the Maxwellian distribution. Under a smallness assumption on the initial datum with exponential decay in the velocity variable, we establish the optimal Gevrey Gelfand-Shilov regularizing effect for the solution to the Cauchy problem. |
| title | The Gevrey Gelfand-Shilov regularizing effect of the Landau equation with soft potential |
| topic | Analysis of PDEs 35B65, 76P05, 82C40 |
| url | https://arxiv.org/abs/2504.11700 |