带漂移的非局部方程的Schauder估计：超临界情形
On the Schauder Estimates for Non-local Equations with Drift: The Supercritical Case
AI总结：
针对带漂移的非局部柯西问题，本文建立超临界情形下的Schauder估计，其主导算子为α稳定过程生成元，漂移项满足Hölder连续性，证明采用锥形Littlewood–Paley分解与一维单侧二进制极大值原理。
AI中文摘要：
我们建立了带漂移的非局部柯西问题的Schauder估计，主导算子是α∈(0,1)的非退化α稳定过程的生成元，漂移项为β∈(1−α,1)的β-Hölder连续函数，证明依赖于精细的锥形Littlewood–Paley分解和一维单侧二进制极大值原理。
英文摘要：
We establish a Schauder estimate for a nonlocal Cauchy problem with drift. The leading operator is the generator of a non-degenerate $α$-stable process with $α\in(0,1)$, and the drift is $β$-Hölder continuous with $β\in (1-α,1)$. The proof relies on a refined conic Littlewood--Paley decomposition and a one-dimensional one-sided dyadic maximum principle.
