论文标题
线性二阶半纤维化PDE的渐近平均解决方案：pizzetti-type定理
Asymptotic average solutions to linear second order semi-elliptic PDEs: a Pizzetti-type Theorem
论文作者
论文摘要
通过利用Pizzetti首先使用的古典Laplacian使用的旧想法，我们介绍了一个{\ it渐近平均解决方案}的概念，使每个Poisson方程$ \ MATHCAL {l} l} u（x）= - f（x）= - f（x）$ continuled Data $ f $ f $ f $ f $ f $ f $ f $ f $ f $ \ mathcal is a theratiate in luntator in luntation n a linatiate n a a thatiate n a an a an a a an a a in a a an a a in l lan}半限定特征形式。
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.
