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.
Original language | English |
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Pages (from-to) | 1225-1238 |
Number of pages | 14 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 428 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Jan 2015 |
Externally published | Yes |