On Lieb-Thirring inequalities for multidimensional Schrödinger operators with complex potentials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00385390" target="_blank" >RIV/68407700:21340/25:00385390 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00020-025-02810-0" target="_blank" >https://doi.org/10.1007/s00020-025-02810-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00020-025-02810-0" target="_blank" >10.1007/s00020-025-02810-0</a>

Result language
angličtina
Original language name
On Lieb-Thirring inequalities for multidimensional Schrödinger operators with complex potentials
Original language description
We solve the open problem by Demuth, Hansmann, and Katriel announced in [Integr. Equ. Oper. Theory 75 (2013), 1–5] by a counter-example construction. The problem concerns a possible generalisation of the Lieb–Thirring inequality for Schrodinger operators in Rd to the case of complex-valued potentials. A counter-example has already been found for the one-dimensional case d = 1 by the first and third authors in [J. Spectr. Theory 11 (2021), 1391–1413]. Here we generalise the counter-example to higher dimensions d >= 2.
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
—
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
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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