Elliptic partial differential equations and quasiconformal mappings in the plane
By: Kari Astala, Tadeusz Iwaniec, and Gaven Martin.
Contributors: Iwaniec, Tadeusz.; Martin, Gaven.
Series: Princeton mathematical series -- 48
Publisher: Princeton University Press
Published: 2009
Place of publication: Princeton
Language: eng
Number of pages: 677
ISBN-13: 9780691137773
Subjects: Differential equations, Elliptic; Quasiconformal mappings
Description: "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."--Jacket.
Notes: Includes bibliographical references and index.