最大曲面插值

IF 0.7 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2025-07-04 DOI:10.1134/S1234567825020041

Rukmini Dey, Rahul Kumar Singh

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引用次数: 0

摘要

在本文中，我们利用Banach空间的反函数定理，通过构造包含它们的极大曲面，将洛伦兹-闵可夫斯基空间\(\mathbb{L}^3\)中给定的实解析类空间曲线\(a\)插值到另一条在某种意义上足够“接近”\(a\)的实解析类空间曲线\(c\)。在整个研究中，Björling问题和Schwarz的解决方案发挥了关键作用。

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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Interpolation by Maximal Surfaces

In this article, we use the inverse function theorem for Banach spaces to interpolate a given real analytic spacelike curve \(a\) in the Lorentz–Minkowski space \(\mathbb{L}^3\) to another real analytic spacelike curve \(c\), which is “close” enough to \(a\) in a certain sense, by constructing a maximal surface containing them. Throughout this study, the Björling problem and Schwarz’s solution to it play pivotal roles.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.