The Beltrami Equation A Geometric Approach /

• Main Authors: Gutlyanskii, Vladimir (Author), Ryazanov, Vladimir (Author), Srebro, Uri (Author), Yakubov, Eduard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2012.
• Series: Developments in Mathematics, 26
• Subjects: Mathematics.; Functions of complex variables.; Differential equations.; Partial differential equations.; Partial Differential Equations.; Functions of a Complex Variable.; Ordinary Differential Equations.

The Beltrami Equation: A Geometric Approach will be particularly useful to many specialists in modern geometric analysis, quasiconformal mappings and extensions, beginning researchers, and graduate students with a year’s background in complex variables. This book covers the state-of-the art in the o...

Table of Contents:

• 1. Introduction
• 2. Preliminaries
• 3. The Classical Beltrami Equation ||μ||∞ < 1
• 4. The Degenerate Case
• 5. BMO- and FMO-Quasiconformal Mappings
• 6. Ring Q-Homeomorphisms at Boundary Points
• 7. Strong Ring Solutions of Beltrami Equations
• 8. On the Dirichlet Problem for Beltrami Equations
• 9. On the Beltrami Equations with Two Characteristics
• 10. Alternating Beltrami Equation
• References
• Index.