Scattering on Leaky Wires in Dimension Three
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00338169" target="_blank" >RIV/68407700:21340/19:00338169 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-12661-2_6" target="_blank" >https://doi.org/10.1007/978-3-030-12661-2_6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-12661-2_6" target="_blank" >10.1007/978-3-030-12661-2_6</a>
Alternative languages
Result language
angličtina
Original language name
Scattering on Leaky Wires in Dimension Three
Original language description
We consider the scattering problem for a class of strongly singular Schrödinger operators in L2(R3) which can be formally written as Hα,Γ=-Δ+δα(x-Γ), where αelementR is the coupling parameter and Γ is an infinite curve which is a local smooth deformation of a straight line ΣcR3. Using Kato–Birman method, we prove that the wave operators Ω±(Hα,Γ,Hα,Σ) exist and are complete.
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
10100 - Mathematics
Result continuities
Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Analysis and Operator Theory: Dedicated in Memory of Tosio Kato’s 100th Birthday
ISBN
978-3-030-12660-5
Number of pages of the result
11
Pages from-to
81-91
Number of pages of the book
416
Publisher name
Springer International Publishing
Place of publication
Cham
UT code for WoS chapter
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