Small stochastic perturbations in a general fractional kinetic equation

Márquez, David (Márquez Carreras)2024-11-182024-11-182015-06-171292-8100https://hdl.handle.net/2445/216545In this paper we study some properties of the density for the law of the solution to a generalized multidimensional fractional kinetic equation driven by a Gaussian noise, white in time and correlated in space. The diﬀusion operator is the composition between the Bessel and Riesz potentials with any fractional parameters. We also establish Varadhan’s estimates for the solution to the equation obtained by perturbing the noise.19 p.application/pdfeng(c) EDP Sciences, 2015Equacions diferencials parcials estocàstiquesProcessos gaussiansAnàlisi estocàsticaCamps aleatorisStochastic partial differential equationsGaussian processesStochastic analysisRandom fieldsSmall stochastic perturbations in a general fractional kinetic equationinfo:eu-repo/semantics/article6427762024-11-18info:eu-repo/semantics/openAccess