On Lp -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space
Analysis of PDEs
2016-05-24 v1 Probability
Abstract
Elliptic and parabolic integro-differential model problems are considered in the whole space. By verifying H\"ormander condition, the existence and uniqueness is proved in L_{p}-spaces of functions whose regularity is defined by a scalable, possibly nonsymmetric, Levy measure. Some rough probability density function estimates of the associated Levy process are used as well.
Keywords
Cite
@article{arxiv.1605.07086,
title = {On Lp -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space},
author = {R. Mikulevicius and C. Phonsom},
journal= {arXiv preprint arXiv:1605.07086},
year = {2016}
}