Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem
Analysis of PDEs
2022-09-20 v1
Abstract
By exploiting an old idea first used by Pizzetti for the classical Laplacian, we introduce a notion of {\it asymptotic average solutions} making pointwise solvable every Poisson equation with continuous data , where is a hypoelliptic linear partial differential operator with positive semidefinite characteristic form.
Cite
@article{arxiv.2209.08394,
title = {Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem},
author = {Alessia E. Kogoj and Ermanno Lanconelli},
journal= {arXiv preprint arXiv:2209.08394},
year = {2022}
}