具有Neumann条件的二阶一致椭圆偏微分方程的适定性

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-06-30 DOI:10.1016/j.aml.2025.109670

Haruki Kono

引用次数: 0

摘要

本文推广了Nardi和Giacomo（2015）的结果，建立了具有Neumann边界条件的散度形式二阶一致椭圆偏微分方程的存在唯一性结果。还得到了一个Schauder估计和一个稳定性结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Well-posedness of second-order uniformly elliptic PDEs with Neumann conditions

Extending the results of Nardi and Giacomo (2015), this note establishes an existence and uniqueness result for second-order uniformly elliptic PDEs in divergence form with Neumann boundary conditions. A Schauder estimate and a stability result are also derived.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.