Green's Function for Nondivergence Elliptic Operators in Two Dimensions
نویسندگان
چکیده
We construct the Green function for second-order elliptic equations in non-divergence form when mean oscillations of coefficients satisfy Dini condition. show that Green's is BMO domain and establish logarithmic pointwise bounds. also obtain bounds first second derivatives function.
منابع مشابه
Regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition∗
The purpose of this paper is to obtain the global regularity in Orlicz spaces for nondivergence elliptic operators with potentials satisfying a reverse Hölder condition.
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ژورنال
عنوان ژورنال: Siam Journal on Mathematical Analysis
سال: 2021
ISSN: ['0036-1410', '1095-7154']
DOI: https://doi.org/10.1137/20m1323618