The Resource A spectral theory for simply periodic solutions of the SinhGordon equation, Sebastian Klein
A spectral theory for simply periodic solutions of the SinhGordon equation, Sebastian Klein
Resource Information
The item A spectral theory for simply periodic solutions of the SinhGordon equation, Sebastian Klein represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item A spectral theory for simply periodic solutions of the SinhGordon equation, Sebastian Klein represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book develops a spectral theory for the integrable system of 2dimensional, simply periodic, complexvalued solutions u of the sinhGordon equation. Such solutions (if realvalued) correspond to certain constant mean curvature surfaces in Euclidean 3space. 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 infinitedimensional integrable systems, or in the geometry of constant mean curvature surfaces  Back cover
 Language
 eng
 Label
 A spectral theory for simply periodic solutions of the SinhGordon equation
 Title
 A spectral theory for simply periodic solutions of the SinhGordon equation
 Statement of responsibility
 Sebastian Klein
 Language
 eng
 Summary
 This book develops a spectral theory for the integrable system of 2dimensional, simply periodic, complexvalued solutions u of the sinhGordon equation. Such solutions (if realvalued) correspond to certain constant mean curvature surfaces in Euclidean 3space. 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 infinitedimensional integrable systems, or in the geometry of constant mean curvature surfaces  Back cover
 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 SinhGordon equation, Sebastian Klein
 Bibliography note
 Includes bibliographical references (pages 327332)
 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 SinhGordon equation, Sebastian Klein
 Bibliography note
 Includes bibliographical references (pages 327332)
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.umsl.edu/portal/Aspectraltheoryforsimplyperiodicsolutions/_dwYCSplc3Q/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Aspectraltheoryforsimplyperiodicsolutions/_dwYCSplc3Q/">A spectral theory for simply periodic solutions of the SinhGordon equation, Sebastian Klein</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of MissouriSt. Louis Libraries</a></span></span></span></span></div>