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arXiv · 2303.05467

Singular parabolic problems in the half-space

Giorgio Metafune·Luigi Negro·Chiara Spina
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Abstract

We study elliptic and parabolic problems governed by singular elliptic operators \begin{equation*} \mathcal L =\sum_{i,j=1}^{N+1}q_{ij}D_{ij}+\frac c y D_y \end{equation*} in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$. More general operators and oblique derivative boundary conditions will be also considered.

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Giorgio Metafune, Luigi Negro, Chiara Spina. 2023-03-09. Singular parabolic problems in the half-space. https://arxiv.org/abs/2303.05467

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