论文标题
统一的方法在半空间中退化问题
A unified approach to degenerate problems in the half-space
论文作者
论文摘要
我们研究由奇异椭圆算子\ begin {qore*} \ mathcal l = y^{α_1}δ__{x} +y^{α_2} \ left（d_} - \ frac {b} {y^2} \右），\qquadα_1，α_2\ in \ mathbb r \ end end end {equation*} in Half -Space $ \ Mathbb r^{n+1} _
We study elliptic and parabolic problems governed by the singular elliptic operators \begin{equation*} \mathcal L =y^{α_1}Δ_{x} +y^{α_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right), \qquadα_1, α_2 \in\mathbb R \end{equation*} in the half-space $\mathbb R^{N+1}_+=\{(x,y): x \in \mathbb R^N, y>0\}$.
