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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

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Cover of 'A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Minimal Immersions into the 3-Sphere and the Sinh-Gordon Equation
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    Chapter 3 Spectral Data for Simply Periodic Solutions of the Sinh-Gordon Equation
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    Chapter 4 The Vacuum Solution
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    Chapter 5 The Basic Asymptotic of the Monodromy
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    Chapter 6 Basic Behavior of the Spectral Data
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    Chapter 7 The Fourier Asymptotic of the Monodromy
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    Chapter 8 The Consequences of the Fourier Asymptotic for the Spectral Data
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    Chapter 9 Asymptotic Spaces of Holomorphic Functions
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    Chapter 10 Interpolating Holomorphic Functions
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    Chapter 11 Final Description of the Asymptotic of the Monodromy
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    Chapter 12 Non-special Divisors and the Inverse Problem for the Monodromy
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    Chapter 13 Divisors of Finite Type
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    Chapter 14 Darboux Coordinates for the Space of Potentials
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    Chapter 15 The Inverse Problem for Cauchy Data Along the Real Line
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    Chapter 16 Estimate of Certain Integrals
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    Chapter 17 Asymptotic Behavior of 1-Forms on the Spectral Curve
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    Chapter 18 Construction of the Jacobi Variety for the Spectral Curve
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    Chapter 19 The Jacobi Variety and Translations of the Potential
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    Chapter 20 Asymptotics of Spectral Data for Potentials on a Horizontal Strip
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    Chapter 21 Perspectives
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Title
A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation
Published by
Springer International Publishing, February 2019
DOI 10.1007/978-3-030-01276-2
ISBNs
978-3-03-001275-5, 978-3-03-001276-2
Authors

Klein, Sebastian

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