Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F24%3A00377093" target="_blank" >RIV/68407700:21340/24:00377093 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jfa.2024.110646" target="_blank" >https://doi.org/10.1016/j.jfa.2024.110646</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2024.110646" target="_blank" >10.1016/j.jfa.2024.110646</a>

Result language
angličtina
Original language name
Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials
Original language description
We quantify the subcriticality of the bilaplacian in dimensions greater than four by providing explicit repulsivity/smallness conditions on complex additive perturbations under which the spectrum remains stable. Our assumptions cover critical Rellich-type potentials too. As a byproduct we obtain uniform resolvent estimates in weighted spaces. Some of the results are new also in the self-adjoint setting.
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
10101 - Pure mathematics

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)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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