中文

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 XX-elliptic equations with L1L^1 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.

关键词

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