Abstract
We establish interior Schauder estimates for kinetic equations with integrodifferential diffusion. We study equations of the form , where is an integrodifferential diffusion operator of order acting in the -variable. Under suitable ellipticity and Hölder continuity conditions on the kernel of , we obtain an a priori estimate for in a properly scaled Hölder space.
Citation
Cyril Imbert. Luis Silvestre. "The Schauder estimate for kinetic integral equations." Anal. PDE 14 (1) 171 - 204, 2021. https://doi.org/10.2140/apde.2021.14.171
Information