Magnetic Dirichlet Laplacian in curved waveguides

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F25%3AA2603AWJ" target="_blank" >RIV/61988987:17310/25:A2603AWJ - isvavai.cz</a>

Result on the web

<a href="https://www.opuscula.agh.edu.pl/forthcoming" target="_blank" >https://www.opuscula.agh.edu.pl/forthcoming</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.7494/OpMath.2025.45.3.293" target="_blank" >10.7494/OpMath.2025.45.3.293</a>

Result language

angličtina

Original language name

Magnetic Dirichlet Laplacian in curved waveguides

Original language description

For a two-dimensional curved waveguide, it is well known that the spectrum of the Dirichlet Laplacian is unstable with respect to waveguide deformations. This means that if the waveguide is a straight strip then the spectrum of the Dirichlet Laplacian is purely essential. From the other hand, the perturbation of the straight strip produces eigenvalues below the essential spectrum. In this paper, the Dirichlet-Laplace operator with a magnetic field is considered. We explicitly prove that the spectrum of the magnetic Laplacian is stable under small but non-local deformations of the waveguide.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

OPUSCULA MATHEMATICA

ISSN

1232-9274

e-ISSN

2300-6919

Volume of the periodical

—

Issue of the periodical within the volume

3

Country of publishing house

PL - POLAND

Number of pages

13

Pages from-to

293-305

UT code for WoS article

001504111000001

EID of the result in the Scopus database

2-s2.0-105007497746