特殊拉格朗日方程凸粘性解的正则性

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2023-07-21 DOI:10.1002/cpa.22130

Jingyi Chen, Ravi Shankar, Yu Yuan

引用次数: 12

摘要

建立了特殊拉格朗日方程凸粘性解的内正则性。我们的结果表明，所有这些解在域的内部都是真正的解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Regularity for convex viscosity solutions of special Lagrangian equation

We establish interior regularity for convex viscosity solutions of the special Lagrangian equation. Our result states that all such solutions are real analytic in the interior of the domain.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Communications on Pure and Applied Mathematics 数学-数学

CiteScore

6.70

自引率

3.30%

发文量

审稿时长

>12 weeks

期刊介绍： Communications on Pure and Applied Mathematics (ISSN 0010-3640) is published monthly, one volume per year, by John Wiley & Sons, Inc. © 2019. The journal primarily publishes papers originating at or solicited by the Courant Institute of Mathematical Sciences. It features recent developments in applied mathematics, mathematical physics, and mathematical analysis. The topics include partial differential equations, computer science, and applied mathematics. CPAM is devoted to mathematical contributions to the sciences; both theoretical and applied papers, of original or expository type, are included.