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

• Main Author: Klein, Sebastian (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Mathematics, 2229
• Subjects: Partial differential equations.; 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.

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...