Quantum Graphs with Small Edges: Holomorphy of Resolvents
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F21%3A50018619" target="_blank" >RIV/62690094:18470/21:50018619 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1134%2FS1064562421030054" target="_blank" >https://link.springer.com/article/10.1134%2FS1064562421030054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S1064562421030054" target="_blank" >10.1134/S1064562421030054</a>
Alternative languages
Result language
angličtina
Original language name
Quantum Graphs with Small Edges: Holomorphy of Resolvents
Original language description
We consider a general scalar self-adjoint elliptic second order operator with general boundary conditions on an arbitrary metric graph containing a subgraph with edges of lengths proportional to a small parameter. We show that the resolvent of such operator is holomorphic in the small parameter and provide its representations by Taylor series. The coefficients of the series are found rather explicitly.
Czech name
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Czech description
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Classification
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
Result continuities
Project
—
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
Name of the periodical
DOKLADY MATHEMATICS
ISSN
1064-5624
e-ISSN
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Volume of the periodical
103
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
113-117
UT code for WoS article
000692489600004
EID of the result in the Scopus database
2-s2.0-85112370475