Quasiconformal Mappings In The Plane
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Quasiconformal Mappings In The Plane
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Author : Olli Lehto
language : en
Publisher:
Release Date : 1973
Quasiconformal Mappings In The Plane written by Olli Lehto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Conformal mapping categories.
Quasiconformal Mappings In The Plane
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Author : J. Krzyz
language : en
Publisher: Springer
Release Date : 2006-11-15
Quasiconformal Mappings In The Plane written by J. Krzyz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Quasiconformal Mappings In The Plane
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Author : Olli Lehto
language : en
Publisher: Springer
Release Date : 1973
Quasiconformal Mappings In The Plane written by Olli Lehto and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Quasiconformal Mappings In The Plane
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Author : Julian Ławrynowicz
language : en
Publisher: Springer Verlag
Release Date : 1983
Quasiconformal Mappings In The Plane written by Julian Ławrynowicz and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.
Quasiconformal Mappings In The Plane
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Author : J. Krzyz
language : en
Publisher: Springer
Release Date : 2014-10-08
Quasiconformal Mappings In The Plane written by J. Krzyz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-08 with Mathematics categories.
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane Pms 48
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Author : Kari Astala
language : en
Publisher: Princeton University Press
Release Date : 2009-01-18
Elliptic Partial Differential Equations And Quasiconformal Mappings In The Plane Pms 48 written by Kari Astala and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-18 with Mathematics categories.
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Infinitesimal Geometry Of Quasiconformal And Bi Lipschitz Mappings In The Plane
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Author : Bogdan Bojarski
language : en
Publisher: Amer Mathematical Society
Release Date : 2013
Infinitesimal Geometry Of Quasiconformal And Bi Lipschitz Mappings In The Plane written by Bogdan Bojarski and has been published by Amer Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This book is intended for researchers interested in new aspects of local behavior of plane mappings and their applications. The presentation is self-contained, but the reader is assumed to know basic complex and real analysis. The study of the local and boundary behavior of quasiconformal and bi-Lipschitz mappings in the plane forms the core of the book. The concept of the infinitesimal space is used to investigate the behavior of a mapping at points without differentiability. This concept, based on compactness properties, is applied to regularity problems of quasiconformal mappings and quasiconformal curves, boundary behavior, weak and asymptotic conformality, local winding properties, variation of quasiconformal mappings, and criteria of univalence. Quasiconformal and bi-Lipschitz mappings are instrumental for understanding elasticity, control theory and tomography, and the book also offers a new look at the classical areas such as the boundary regularity of a conformal map. Complicated local behavior is illustrated by many examples. The text offers a detailed development of the background for graduate students and researchers. Starting with the classical methods to study quasiconformal mappings, this treatment advances to the concept of the infinitesimal space and then relates it to other regularity properties of mappings in Part II. The new unexpected connections between quasiconformal and bi-Lipschitz mappings are treated in Part III. There is an extensive bibliography.
Quasiconformal Mappings In The Plane
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Author :
language : en
Publisher:
Release Date : 1973
Quasiconformal Mappings In The Plane written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Quasiconformal mappings categories.
Quasiconformal Mappings In The Complex Plane
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Author : Nathan T. Mercer
language : en
Publisher:
Release Date : 2006
Quasiconformal Mappings In The Complex Plane written by Nathan T. Mercer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Functions of complex variables categories.
Quasisymmetric Functions And Plane Quasiconformal Mappings
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Author : Kenneth P. Goldberg
language : en
Publisher:
Release Date : 1973
Quasisymmetric Functions And Plane Quasiconformal Mappings written by Kenneth P. Goldberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Conformal mapping categories.