公制图上拉普拉斯算子残差的轨迹

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-12-25 DOI:10.1134/S1061920823040192

A. A. Tolchennikov

引用次数: 0

摘要

摘要本文利用 Krein 的 resolvent 公式，找到了拉普拉斯算子在度量图上的迹的 resolvent 的渐近线。 doi 10.1134/s1061920823040192

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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Trace of the Resolvent of the Laplace Operator on a Metric Graph

In the paper, using Krein’s resolvent formula, we find an asymptotics of the resolvent of the trace of the Laplace operator on a metric graph.

DOI 10.1134/S1061920823040192

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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.