Singular parabolic problems in the half-space
Volume 277 / 2024
Studia Mathematica 277 (2024), 1-44
MSC: Primary 35K67; Secondary 35B45, 47D07, 35J70, 35J75
DOI: 10.4064/sm230710-18-3
Published online: 1 July 2024
Abstract
We study elliptic and parabolic problems governed by singular elliptic operators $$\mathcal L =\sum _{i,j=1}^{N+1}q_{ij}D_{ij}+\frac c y D_y$$ in the half-space $\mathbb R ^{N+1}_+=\{(x,y): x \in \mathbb R ^N$, $y \gt 0\}$ under Neumann boundary conditions at $y=0$. More general operators and oblique derivative boundary conditions are also considered.
