Dispersive equations with invariant measures
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911181844774912 |
|---|---|
| author | Garofalo, Nicola |
| author_facet | Garofalo, Nicola |
| contents | In mathematical physics it is of interest to study Schrödinger equations with friction and possessing an invariant measure. The focus of this paper is the Cauchy problem for the Schrödinger equation $\p_t f - i \mathscr L f = 0$, where $\mathscr L = Δ- \sa x,\nabla\da$ is the Ornstein-Uhlenbeck operator. We use this as a model to stimulate interest in a new class of possibly degenerate dispersive equations which cannot be treated by the existing theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23466 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dispersive equations with invariant measures Garofalo, Nicola Analysis of PDEs 35Q40, 35Q41, 35C15, 22E30 In mathematical physics it is of interest to study Schrödinger equations with friction and possessing an invariant measure. The focus of this paper is the Cauchy problem for the Schrödinger equation $\p_t f - i \mathscr L f = 0$, where $\mathscr L = Δ- \sa x,\nabla\da$ is the Ornstein-Uhlenbeck operator. We use this as a model to stimulate interest in a new class of possibly degenerate dispersive equations which cannot be treated by the existing theory. |
| title | Dispersive equations with invariant measures |
| topic | Analysis of PDEs 35Q40, 35Q41, 35C15, 22E30 |
| url | https://arxiv.org/abs/2509.23466 |