Gevrey regularity for integro-differential operators
Abstract
We prove for some singular kernels K(x,y) that viscosity solutions of the integro-differential equation ∫Rn [u(x+y)+u(x-y)-2u(x)]\,K(x,y)dy=f(x) locally belong to some Gevrey class if so does f. The fractional Laplacian equation is included in this framework as a special case.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.