论文标题
格林在二维中的非元素椭圆运算符的功能
Green's function for nondivergence elliptic operators in two dimensions
论文作者
论文摘要
当系数的平均振荡满足DINI条件时，我们以非分离形式构建二阶椭圆方程的绿色函数。我们表明，绿色的函数是域中的BMO，并建立对数点的界限。我们还获得了绿色函数的第一和第二个衍生物的点上的界限。
We construct the Green function for second-order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition. We show that the Green's function is BMO in the domain and establish logarithmic pointwise bounds. We also obtain pointwise bounds for first and second derivatives of the Green's function.
