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math.AP2023
Regularity theory for parabolic operators in the half-space with boundary degeneracy
Giorgio Metafune, Luigi Negro, Chiara Spina
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{align*} \mathcal L=y^{α_1}\mbox{Tr }\left(QD^2_xu\right)+2y^{\frac{α_1+α_2}{2}}q\cdot \n…
math.AP2023
Singular parabolic problems in the half-space
Giorgio Metafune, Luigi Negro, Chiara Spina
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 h…