Second order elliptic partial differential equations driven by L\'evy white noise
Probability
2021-02-12 v1
Abstract
This paper deals with linear stochastic partial differential equations with variable coefficients driven by L\'{e}vy white noise. We first derive an existence theorem for integral transforms of L\'{e}vy white noise and prove the existence of generalized and mild solutions of second order elliptic partial differential equations. Furthermore, we discuss the generalized electric Schr\"odinger operator for different potential functions .
Keywords
Cite
@article{arxiv.2102.06110,
title = {Second order elliptic partial differential equations driven by L\'evy white noise},
author = {David Berger and Farid Mohamed},
journal= {arXiv preprint arXiv:2102.06110},
year = {2021}
}