On fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916370301583360 |
|---|---|
| author | Ataei, Alireza Nyström, Kaj |
| author_facet | Ataei, Alireza Nyström, Kaj |
| contents | We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity dictated by a spatial $A_2$-weight. We prove the existence of a fundamental solution and derive Gaussian bounds. Our construction is based on the original work of Kato \cite{Kato}. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_02606 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients Ataei, Alireza Nyström, Kaj Analysis of PDEs We consider second order degenerate parabolic equations with real, measurable, and time-dependent coefficients. We allow for degenerate ellipticity dictated by a spatial $A_2$-weight. We prove the existence of a fundamental solution and derive Gaussian bounds. Our construction is based on the original work of Kato \cite{Kato}. |
| title | On fundamental solutions and Gaussian bounds for degenerate parabolic equations with time-dependent coefficients |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.02606 |