Article ID Journal Published Year Pages File Type
6417770 Journal of Mathematical Analysis and Applications 2015 14 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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