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The Beltrami Equation
Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov (Broschiert, Englisch)
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Beschreibung
This book is devoted to the Beltrami equations that play a significant role in Geometry, Analysis and Physics and, in particular, in the study of quasiconformal mappings and their generalizations, Riemann surfaces, Kleinian groups, Teichmuller spaces, Clifford analysis, meromorphic functions, low dimensional topology, holomorphic motions, complex dynamics, potential theory, electrostatics,… magnetostatics, hydrodynamics and magneto-hydrodynamics. The purpose of this book is to present the recent developments in the theory of Beltrami equations; especially those concerning degenerate and alternating Beltrami equations. The authors study a wide circle of problems like convergence, existence, uniqueness, representation, removal of singularities, local distortion estimates and boundary behavior of solutions to the Beltrami equations. The monograph contains a number of new types of criteria in the given problems, particularly new integral conditions for the existence of regular solutions to the Beltrami equations that turned out to be not only sufficient but also necessary. The most important feature of this book concerns the unified geometric approach based on the modulus method that is effectively applied to solving the mentioned problems. Moreover, it is characteristic for the book application of many new concepts as strong ring solutions, tangent dilatations, weakly flat and strongly accessible boundaries, functions of finite mean oscillations and new integral conditions that make possible to realize a more deep and refined analysis of problems related to the Beltrami equations. Mastering and using these new tools also gives essential advantages for the reader in the research of modern problems in many other domains. Every mathematics graduate library should have a copy of this book. 160,49 €
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Technische Daten
Erscheinungsdatum
08.05.2014
Sprache
Englisch
EAN
9781489993021
Herausgeber
Springer US
Serien- oder Bandtitel
Developments in Mathematics
Sonderedition
Nein
Autor
Vladimir Gutlyanskii, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
Seitenanzahl
302
Einbandart
Broschiert
Buch Untertitel
A Geometric Approach
Schlagwörter
Beltrami equation, ordinary differential equations, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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