On the Laplace operator with a weak magnetic field in exterior domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00603450" target="_blank" >RIV/61389005:_____/25:00603450 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s13324-024-01001-1" target="_blank" >https://link.springer.com/article/10.1007/s13324-024-01001-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13324-024-01001-1" target="_blank" >10.1007/s13324-024-01001-1</a>

Result language
angličtina
Original language name
On the Laplace operator with a weak magnetic field in exterior domains
Original language description
We study the magnetic Laplacian in a two-dimensional exterior domain with Neumann boundary condition and uniform magnetic field. For the exterior of the disk we establish accurate asymptotics of the low-lying eigenvalues in the weak magnetic field limit. For the exterior of a star-shaped domain, we obtain an asymptotic upper bound on the lowest eigenvalue in the weak field limit, involving the 4-moment, and optimal for the case of the disk. Moreover, we prove that, for moderate magnetic fields, the exterior of the disk is a local maximizer for the lowest eigenvalue under a p-moment constraint.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA21-07129S" target="_blank" >GA21-07129S: New Effects from Time-Reversal Non-Invariance</a><br>
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

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