线性 $X$-椭圆方程可测系数解的存在性、唯一性、正则性与稳定性
偏微分方程分析
2025-06-19 v1
摘要
We prove an existence and uniqueness result for solutions to linear -elliptic equations with data and zero Dirichlet boundary conditions. Such solutions depend continuously on the datum. Moreover, we show that an improvement in the summability of the data yields a corresponding improvement in the summability of the solutions, in a manner analogous to the one that occurs in the case of uniformly elliptic equations.
引用
@article{arxiv.2506.15409,
title = {Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients},
author = {Marco Picerni},
journal= {arXiv preprint arXiv:2506.15409},
year = {2025}
}
备注
20 pages