Trace Hardy inequality for the Euclidean space with a cut and its applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00542656" target="_blank" >RIV/61389005:_____/21:00542656 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21340/21:00354803
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2021.125124" target="_blank" >https://doi.org/10.1016/j.jmaa.2021.125124</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2021.125124" target="_blank" >10.1016/j.jmaa.2021.125124</a>

Result language
angličtina
Original language name
Trace Hardy inequality for the Euclidean space with a cut and its applications
Original language description
We obtain a trace Hardy inequality for the Euclidean space with a bounded cut Sigma subset of R-d, d >= 2. In this novel geometric setting, the Hardy-type inequality nontypically holds also for d = 2. The respective Hardy weight is given in terms of the geodesic distance to the boundary of Sigma. We provide its applications to the heat equation on R-d with an insulating cut at Sigma and to the Schrodinger operator with a delta'-interaction supported on Sigma. We also obtain generalizations of this trace Hardy inequality for a class of unbounded cuts.
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/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
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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