Schauder Estimates for Equations Associated with Lévy Generators
Sign Up to like & getrecommendations! Published in 2019 at "Integral Equations and Operator Theory"
DOI: 10.1007/s00020-019-2508-4
Abstract: We study the regularity of solutions to the integro-differential equation $$Af-\lambda f=g$$Af-λf=g associated with the infinitesimal generator A of a Lévy process. We show that gradient estimates for the transition density can be used to… read more here.
Keywords: equations associated; associated generators; estimates equations; infinitesimal generator ... See more keywords
Schauder estimates for stochastic transport-diffusion equations with Lévy processes
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.066
Abstract: We consider a transport-diffusion equation with L\'{e}vy noises and H\"{o}lder continuous coefficients. By using the heat kernel estimates, we derive the Schauder estimates for the mild solutions. Moreover, when the transport term vanishes and $p=2$,… read more here.
Keywords: estimates stochastic; stochastic transport; schauder estimates; transport diffusion ... See more keywords