Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations
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_ | 1866911884617187328 |
|---|---|
| author | Giuseppina, di Blasio Porzio, Maria Michaela |
| author_facet | Giuseppina, di Blasio Porzio, Maria Michaela |
| contents | In this paper we study a class of nonlinear anisotropic parabolic problems in bounded domains. In detail, we study the influences of the initial data and the forcing term f on the behavior of the solutions. We prove existence and uniqueness results. We indagate on the behavior in time of the solutions with a particular attention to the autonomous case f(x, t) = f(x). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13410 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations Giuseppina, di Blasio Porzio, Maria Michaela Analysis of PDEs In this paper we study a class of nonlinear anisotropic parabolic problems in bounded domains. In detail, we study the influences of the initial data and the forcing term f on the behavior of the solutions. We prove existence and uniqueness results. We indagate on the behavior in time of the solutions with a particular attention to the autonomous case f(x, t) = f(x). |
| title | Uniqueness, regularity and behaviour in time of the solutions to nonlinear anisotropic parabolic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.13410 |