Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane

Stein Elias M. Mather John N. Griffiths Phillip A. Iwaniec Tadeusz Astala Kari Martin Gaven

ISBN 10: 0691137773 ISBN 13: 9780691137773

Editorial: Princeton University Press, 2009

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Descripci�n

pp. 696. N� de ref. del art�culo 18831600

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Sinopsis:

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.

Acerca del autor: Kari Astala is the Finnish Academy Professor of Mathematics at the University of Helsinki. Tadeusz Iwaniec is the John Raymond French Distinguished Professor of Mathematics at Syracuse University. Gaven Martin is the Distinguished Professor of Mathematics at Massey University.

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Detalles bibliogr�ficos

T�tulo: Elliptic Partial Differential Equations and ...
Editorial: Princeton University Press
A�o de publicaci�n: 2009
Encuadernaci�n: Encuadernaci�n de tapa dura
Condici�n: New

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) (Princeton Mathematical Series)

Martin, Gaven,Iwaniec, Tadeusz,Astala, Kari

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48) (Princeton Mathematical Series)

Martin, Gaven,Iwaniec, Tadeusz,Astala, Kari

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Astala, Kari,Iwaniec, Tadeusz,Martin, Gaven

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Astala, Kari & Tadeusz Iwaniec & Gaven Martin

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Astala, Kari & Tadeusz Iwaniec & Gaven Martin

Publicado por Princeton University Press, Princeton, 2009

ISBN 10: 0691137773 ISBN 13: 9780691137773

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Astala, Kari,Iwaniec, Tadeusz,Martin, Gaven

Publicado por Princeton University Press, 2009

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