Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks (Record no. 70402)

MARC details
000 -LEADER
fixed length control field 03281naaaa2200601uu 4500
001 - CONTROL NUMBER
control field https://directory.doabooks.org/handle/20.500.12854/60378
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220220062342.0
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number books978-3-03921-721-2
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783039217212
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783039217205
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.3390/books978-3-03921-721-2
Terms of availability doi
041 0# - LANGUAGE CODE
Language code of text/sound track or separate title English
042 ## - AUTHENTICATION CODE
Authentication code dc
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Pelinovsky, Dmitry
Relationship auth
245 10 - TITLE STATEMENT
Title Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks
260 ## - PUBLICATION, DISTRIBUTION, ETC.
Name of publisher, distributor, etc. MDPI - Multidisciplinary Digital Publishing Institute
Date of publication, distribution, etc. 2019
300 ## - PHYSICAL DESCRIPTION
Extent 1 electronic resource (144 p.)
506 0# - RESTRICTIONS ON ACCESS NOTE
Terms governing access Open Access
Source of term star
Standardized terminology for access restriction Unrestricted online access
520 ## - SUMMARY, ETC.
Summary, etc. This Special Issue focuses on recent progress in a new area of mathematical physics and applied analysis, namely, on nonlinear partial differential equations on metric graphs and branched networks. Graphs represent a system of edges connected at one or more branching points (vertices). The connection rule determines the graph topology. When the edges can be assigned a length and the wave functions on the edges are defined in metric spaces, the graph is called a metric graph. Evolution equations on metric graphs have attracted much attention as effective tools for the modeling of particle and wave dynamics in branched structures and networks. Since branched structures and networks appear in different areas of contemporary physics with many applications in electronics, biology, material science, and nanotechnology, the development of effective modeling tools is important for the many practical problems arising in these areas. The list of important problems includes searches for standing waves, exploring of their properties (e.g., stability and asymptotic behavior), and scattering dynamics. This Special Issue is a representative sample of the works devoted to the solutions of these and other problems.
540 ## - TERMS GOVERNING USE AND REPRODUCTION NOTE
Terms governing use and reproduction Creative Commons
Use and reproduction rights https://creativecommons.org/licenses/by-nc-nd/4.0/
Source of term cc
-- https://creativecommons.org/licenses/by-nc-nd/4.0/
546 ## - LANGUAGE NOTE
Language note English
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term quantum graphs
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Uncontrolled term ground states
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Uncontrolled term open sets converging to metric graphs
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Uncontrolled term norm convergence of operators
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Uncontrolled term NLD
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Uncontrolled term scaling limit
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Uncontrolled term standing waves
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Uncontrolled term bound states
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Uncontrolled term networks
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Uncontrolled term localized nonlinearity
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Uncontrolled term nonlinear Schrödinger equation
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Uncontrolled term metric graphs
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Uncontrolled term convergence of spectra
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Uncontrolled term sine-Gordon equation
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Uncontrolled term NLS
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Uncontrolled term star graph
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Uncontrolled term point interactions
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Uncontrolled term Laplacians
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Uncontrolled term nonrelativistic limit
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Uncontrolled term nonlinear wave equations
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Uncontrolled term quantum graph
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Uncontrolled term soliton
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Uncontrolled term nonlinear shallow water equations
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Uncontrolled term Kre?n formula
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Uncontrolled term breather
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Uncontrolled term non-linear Schrödinger equation
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Uncontrolled term Schrödinger equation
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Uncontrolled term nodal structure
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Noja, Diego
Relationship auth
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://mdpi.com/books/pdfview/book/1763">https://mdpi.com/books/pdfview/book/1763</a>
Access status 0
Public note DOAB: download the publication
856 40 - ELECTRONIC LOCATION AND ACCESS
Host name www.oapen.org
Uniform Resource Identifier <a href="https://directory.doabooks.org/handle/20.500.12854/60378">https://directory.doabooks.org/handle/20.500.12854/60378</a>
Access status 0
Public note DOAB: description of the publication

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