Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F20%3A00344236" target="_blank" >RIV/68407700:21340/20:00344236 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1112/plms.12327" target="_blank" >https://doi.org/10.1112/plms.12327</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/plms.12327" target="_blank" >10.1112/plms.12327</a>

Result language
angličtina
Original language name
Absence of eigenvalues of non-self-adjoint Robin Laplacians on the half-space
Original language description
By developing the method of multipliers, we establish sufficient conditions which guarantee the total absence of eigenvalues of the Laplacian in the half-space, subject to variable complex Robin boundary conditions. As a further application of this technique, uniform resolvent estimates are derived under the same assumptions on the potential. Some of the results are new even in the self-adjoint setting, where we obtain quantum-mechanically natural conditions.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-08835S" target="_blank" >GA18-08835S: Quantum mechanics with non-self-adjoint operators: transition from spectra to pseudospectra</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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