A spectral theory for simply periodic solutions of the Sinh-Gordon equation. ([2018])

• Record Type: Book
• Further Information: Note: Sebastian Klein.
• Authors: (Mathematician), Klein, Sebastian
• Contents: Part I Spectral Data. - Introduction. - Minimal Immersions into the 3-Sphere and the Sinh-Gordon Equation. - Spectral Data for Simply Periodic Solutions of the Sinh-Gordon Equation. - Part II The Asymptotic Behavior of the Spectral Data. - The Vacuum Solution. - The Basic Asymptotic of the Monodromy. - Basic Behavior of the Spectral Data. - The Fourier Asymptotic of the Monodromy. - The Consequences of the Fourier Asymptotic for the Spectral Data. - Part III The Inverse Problem for the Monodromy. - Asymptotic Spaces of Holomorphic Functions. - Interpolating Holomorphic Functions. - Final Description of the Asymptotic of the Monodromy. - Non-special Divisors and the Inverse Problem for the Monodromy. - Part IV The Inverse Problem for Periodic Potentials (Cauchy Data). - Divisors of Finite Type. - Darboux Coordinates for the Space of Potentials. - The Inverse Problem for Cauchy Data Along the Real Line. - Part V The Jacobi Variety of the Spectral Curve. - Estimate of Certain Integrals. - Asymptotic Behavior of 1-Forms on the Spectral Curve. - Construction of the Jacobi Variety for the Spectral Curve. - The Jacobi Variety and Translations of the Potential. - Asymptotics of Spectral Data for Potentials on a Horizontal Strip. - Perspectives.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 515.353; 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; Electronic books
• Languages: English
• ISBNs: 9783030012762
• Related ISBNs: 303001276X; 9783030012755
• Notes: Note: Includes bibliographical references.; Note: Description based on online resource; title from digital title page (viewed on January 23, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.