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The Resource A spectral theory for simply periodic solutions of the Sinh-Gordon equation, Sebastian Klein

A spectral theory for simply periodic solutions of the Sinh-Gordon equation, Sebastian Klein

Label
A spectral theory for simply periodic solutions of the Sinh-Gordon equation
Title
A spectral theory for simply periodic solutions of the Sinh-Gordon equation
Statement of responsibility
Sebastian Klein
Creator
Author
Subject
Language
eng
Summary
This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of spectral data is described by an asymptotic characterization. Using methods of asymptotic estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the spectral curve are constructed and used to describe the change of the spectral data under translation of the solution u. The book's primary audience will be research mathematicians interested in the theory of infinite-dimensional integrable systems, or in the geometry of constant mean curvature surfaces -- Back cover
Member of
Cataloging source
YDX
http://library.link/vocab/creatorName
Klein, Sebastian
Index
no index present
LC call number
QA3
LC item number
.L28 no.2229
Literary form
non fiction
Nature of contents
bibliography
Series statement
Lecture notes in mathematics
Series volume
2229
http://library.link/vocab/subjectName
  • Differential equations, Partial
  • Global differential geometry
  • Functional analysis
  • Functions of complex variables
  • Differential equations
Label
A spectral theory for simply periodic solutions of the Sinh-Gordon equation, Sebastian Klein
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 327-332)
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
1050363224
Dimensions
24 cm.
Extent
viii, 332 pages
Isbn
9783030012755
Lccn
2018961014
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(OCoLC)1050363224
Label
A spectral theory for simply periodic solutions of the Sinh-Gordon equation, Sebastian Klein
Publication
Bibliography note
Includes bibliographical references (pages 327-332)
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Control code
1050363224
Dimensions
24 cm.
Extent
viii, 332 pages
Isbn
9783030012755
Lccn
2018961014
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
System control number
(OCoLC)1050363224

Library Locations

    • Thomas Jefferson LibraryBorrow it
      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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