Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F21%3A00542088" target="_blank" >RIV/61389005:_____/21:00542088 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-030-60453-0_10" target="_blank" >http://dx.doi.org/10.1007/978-3-030-60453-0_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-60453-0_10" target="_blank" >10.1007/978-3-030-60453-0_10</a>
Alternative languages
Result language
angličtina
Original language name
Spectral Isoperimetric Inequality for the Delta' -Interaction on a Contour
Original language description
We consider the problem of geometric optimization for the lowest eigenvalue of the two-dimensional Schrödinger operator with an attractive Delta'-interaction of a fixed strength, the support of which is a C2-smooth contour. Under the constraint of a fixed length of the contour, we prove that the lowest eigenvalue is maximized by the circle. The proof relies on the min-max principle and the method of parallel coordinates.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA17-01706S" target="_blank" >GA17-01706S: Mathematical-Physics Models of Novel Materials</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Springer INdAM Series
ISBN
978-3-030-60452-3
Number of pages of the result
13
Pages from-to
215-227
Number of pages of the book
450
Publisher name
Springer
Place of publication
Cham
UT code for WoS chapter
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