Elliptic partial differential equations and quasiconformal mappings in the plane

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 compellin...

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Bibliographic Details
Main Author: Astala, Kari, 1953-
Other Authors: Iwaniec, Tadeusz., Martin, Gaven.
Format: Electronic
Language:English
Published: Princeton, NJ : Princeton University Press, ©2009.
Series:Princeton mathematical series ; 48.
Subjects:
Online Access:View fulltext via EzAccess
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245 1 0 |a Elliptic partial differential equations and quasiconformal mappings in the plane  |c Kari Astala, Tadeusz Iwaniec, and Gaven Martin.  |h [electronic resource] / 
260 # # |a Princeton, NJ :  |b Princeton University Press,  |c ©2009. 
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504 # # |a Includes bibliographical references and index. 
520 # # |a 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. Th. 
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650 # 0 |a Quasiconformal mappings. 
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700 1 # |a Martin, Gaven. 
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830 # 0 |a Princeton mathematical series ;  |v 48. 
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