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math.AP2026
On the Schauder Estimates for Non-local Equations with Drift: The Supercritical Case
Yanfang Li, Guohuan Zhao
We establish a Schauder estimate for a nonlocal Cauchy problem with drift. The leading operator is the generator of a non-degenerate -stable process with , and the dr…
math.AP2018★ 10 cited
Dirichlet problem for supercritical nonlocal operators
Xicheng Zhang, Guohuan Zhao
Let be a bounded -domain. Consider the following Dirichlet initial-boundary problem of nonlocal operators with a drift: $$ \partial_t u={\mathscr L}^{(α)}_κu+b\cdot \nabla…