The Resource A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation, by Sebastian Klein, (electronic resource)

A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation, by Sebastian Klein, (electronic resource)

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
by Sebastian Klein
Creator
Contributor
Author
Author
Provider
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.
Member of
http://library.link/vocab/creatorName
Klein, Sebastian
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
E3V4yxQNmK0
Image bit depth
0
LC call number
QA370-380
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
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
  • Partial Differential Equations
  • Differential Geometry
  • Functional Analysis
  • Functions of a Complex Variable
  • Ordinary Differential Equations
Label
A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation, by Sebastian Klein, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
VIII, 334 p. 7 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783030012762
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-01276-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-01276-2
Label
A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation, by Sebastian Klein, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Dimensions
unknown
Extent
VIII, 334 p. 7 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9783030012762
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-030-01276-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-030-01276-2

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