Kernel bounds for parabolic operators having first-order degeneracy at the boundary
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910353112170496 |
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| author | Negro, Luigi Spina, Chiara |
| author_facet | Negro, Luigi Spina, Chiara |
| contents | We study kernel estimates for parabolic problems governed by singular elliptic operators
\begin{equation*} \sum_{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad c+1>0, \end{equation*} in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01959 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kernel bounds for parabolic operators having first-order degeneracy at the boundary Negro, Luigi Spina, Chiara Analysis of PDEs 35K08, 35K67, 47D07, 35J70, 35J75 We study kernel estimates for parabolic problems governed by singular elliptic operators \begin{equation*} \sum_{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad c+1>0, \end{equation*} in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$. |
| title | Kernel bounds for parabolic operators having first-order degeneracy at the boundary |
| topic | Analysis of PDEs 35K08, 35K67, 47D07, 35J70, 35J75 |
| url | https://arxiv.org/abs/2403.01959 |