Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem
| Autor: | Kogoj, Alessia E., Lanconelli, Ermanno |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $\mathcal{L} u(x)=-f(x)$ with continuous data $f$, where $\mathcal{L}$ is a hypoelliptic linear partial differential operator with positive semidefinite characteristic form. |
| Databáze: | arXiv |
| Externí odkaz: |
|