半空间退化问题的一个统一处理方法
偏微分方程分析
2022-01-17 v1
摘要
我们研究由奇异椭圆算子\begin{equation*} \mathcal L =y^{\alpha_1}\Delta_{x} +y^{\alpha_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right), \qquad\alpha_1, \alpha_2 \in\mathbb R \end{equation*}在半空间中控制的椭圆和抛物问题。
引用
@article{arxiv.2201.05573,
title = {A unified approach to degenerate problems in the half-space},
author = {Giorgio Metafune and Luigi Negro and Chiara Spina},
journal= {arXiv preprint arXiv:2201.05573},
year = {2022}
}
备注
Portions of this article previously appeared as arXiv:2112.01791, which was split for publication