Harnack inequality for Bessel operators
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915554502115328 |
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| author | Metafune, Giorgio Negro, Luigi Spina, Chiara |
| author_facet | Metafune, Giorgio Negro, Luigi Spina, Chiara |
| contents | We prove uniqueness results and Harnack inequality for Bessel operators
\begin{align*}
%\label{def L transf alpha}
D_t-Δ_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y
% \nonumber \\[1ex]&=y^α\sum_{i,j=1}^{N+1}a_{ij}D_{ij}+y^{α-1}\left(v,\nabla\right)-by^{α-2}.
\end{align*}
in the strip $[0,T]\times \mathbb{R}^{N+1}_+=\{0 \leq t \leq T, x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12529 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Harnack inequality for Bessel operators Metafune, Giorgio Negro, Luigi Spina, Chiara Analysis of PDEs We prove uniqueness results and Harnack inequality for Bessel operators \begin{align*} %\label{def L transf alpha} D_t-Δ_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y % \nonumber \\[1ex]&=y^α\sum_{i,j=1}^{N+1}a_{ij}D_{ij}+y^{α-1}\left(v,\nabla\right)-by^{α-2}. \end{align*} in the strip $[0,T]\times \mathbb{R}^{N+1}_+=\{0 \leq t \leq T, x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$. |
| title | Harnack inequality for Bessel operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.12529 |