Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6417770 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
We prove for some singular kernels K(x,y) that viscosity solutions of the integro-differential equationâ«Rn[u(x+y)+u(xây)â2u(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guglielmo Albanese, Alessio Fiscella, Enrico Valdinoci,