We study kernel estimates for parabolic problems governed by singular elliptic operators \sum_{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac c\gamma +1>0, \quad \gamma=q_{N+1,N+1}, in the half-space \R^{N+1}_+=\{(x,y): x \in \R^N, y>0\} under Neumann boundary conditions at y=0.
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Negro, L.;Spina, C.
2026-01-01
Abstract
We study kernel estimates for parabolic problems governed by singular elliptic operators \sum_{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac c\gamma +1>0, \quad \gamma=q_{N+1,N+1}, in the half-space \R^{N+1}_+=\{(x,y): x \in \R^N, y>0\} under Neumann boundary conditions at y=0.File in questo prodotto:
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