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Spectral inequality for Dirac right triangles

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00366003" target="_blank" >RIV/68407700:21340/23:00366003 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1063/5.0147732" target="_blank" >https://doi.org/10.1063/5.0147732</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/5.0147732" target="_blank" >10.1063/5.0147732</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Spectral inequality for Dirac right triangles

  • Original language description

    We consider a Dirac operator on right triangles, subject to infinite-mass boundary conditions. We conjecture that the lowest positive eigenvalue is minimized by the isosceles right triangle under the area or perimeter constraints. We prove this conjecture under extra geometric hypotheses relying on a recent approach of Briet and Krejčiřík [J. Math. Phys. 63, 013502 (2022)].

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GX20-17749X" target="_blank" >GX20-17749X: New challenges for spectral theory: geometry, advanced materials and complex fields</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Physics

  • ISSN

    0022-2488

  • e-ISSN

    1089-7658

  • Volume of the periodical

    64

  • Issue of the periodical within the volume

    041502

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    18

  • Pages from-to

  • UT code for WoS article

    000967907100002

  • EID of the result in the Scopus database

    2-s2.0-85158888084