We prove maximal regularity for parabolic problems associated to the second-order elliptic operator

$$\begin{aligned} L =\Delta +(a-1)\sum _{i,j=1}^N\frac{x_ix_j}{|x|^2}D_{ij}+c\frac{x}{|x|^2}\cdot \nabla -b|x|^{-2} \end{aligned}$$

with \(a>0\) and \(b,\ c\) real coefficients.

中文翻译：

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具有二阶不连续系数的椭圆算子的最大正则性

我们证明了与二阶椭圆算子相关的抛物线问题的最大正则性

$$ \ begin {aligned} L = \ Delta +（a-1）\ sum _ {i，j = 1} ^ N \ frac {x_ix_j} {| x | ^ 2} D_ {ij} + c \ frac { x} {| x | ^ 2} \ cdot \ nabla -b | x | ^ {-2} \ end {aligned} $$

与\（a> 0 \）和\（b，\ c \）实系数。