On a Model Graph with a Loop and Small Edges. Holomorphy Property of Resolvent

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017894" target="_blank" >RIV/62690094:18470/20:50017894 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10958-020-05118-z" target="_blank" >https://link.springer.com/article/10.1007/s10958-020-05118-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10958-020-05118-z" target="_blank" >10.1007/s10958-020-05118-z</a>

Result language
angličtina
Original language name
On a Model Graph with a Loop and Small Edges. Holomorphy Property of Resolvent
Original language description
We consider the Schrödinger operator on a graph consisting of two infinite edges, a loop, and a glued (at the start and end points of the loop) graph obtained by ε−1 times contraction of some fixed graph. The Kirchhoff conditions are imposed at interior vertices and the Dirichlet or Neumann conditions are imposed at boundary vertices of the graph. We show that the resolvent of the Schrödinger operator is holomorphic with respect to the small parameter ε and write out the first three terms of the asymptotic expansion of the resolvent. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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