数值上Dirichlet-Neumann等谱的视觉光滑非同余平面单连通域

IF 1.5 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2025-09-29 DOI:10.1134/S1061920825601107

A.S. Demidov, A.S. Samokhin

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引用次数: 0

摘要

本文给出了两个具有光滑边界的不一致平面单连通域，在这两个域上，用本文所引用的算法得到的Dirichlet-Neumann算子的特征值实际上是相同的。DOI 10.1134 / S1061920825601107

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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Visually Smooth Non-Congruent Flat Simply Connected Domains That Are Numerically Dirichlet–Neumann Isospectral

The paper presents two incongruent flat simply connected domains with a visually smooth boundary for which the eigenvalues of the Dirichlet–Neumann operator, obtained using the algorithm cited in the paper, are practically identical.

DOI 10.1134/S1061920825601107

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.