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首页|Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients

Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients

来源:Arxiv_logoArxiv
英文摘要

We prove an existence and uniqueness result for solutions to linear $X$-elliptic equations with $L^1$ 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.

Marco Picerni

数学

Marco Picerni.Existence, uniqueness, regularity and stability of solutions to linear $X$-elliptic equations with measurable coefficients[EB/OL].(2025-06-18)[2025-07-16].https://arxiv.org/abs/2506.15409.点此复制

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