关于平面凸域中诺伊曼问题的波利亚猜想

IF 3.1 1区数学 Q1 MATHEMATICS

Communications on Pure and Applied Mathematics Pub Date : 2024-10-10 DOI:10.1002/cpa.22231

N. Filonov

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引用次数: 0

摘要

用平面域中诺伊曼问题谱的计数函数表示.波利亚猜想 .我们证明，对于凸域 .这里是贝塞尔函数的第一个零点 .

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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On the Pólya conjecture for the Neumann problem in planar convex domains

Denote by the counting function of the spectrum of the Neumann problem in the domain on the plane. G. Pólya conjectured that . We prove that for convex domains . Here is the first zero of the Bessel function .

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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.