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Lectures on Mappings of Finite Distortion

English · Paperback / Softback

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In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.


List of contents

Introduction.- Continuity.- Openness and discreteness.- Images and preimages of null sets.- Homeomorphisms of finite distortion.- Integrability of Jf and 1/Jf.- Final comments.- Appendix.- References.

Summary

In this book we introduce the class of mappings of finite distortion as a generalization of the class of mappings of bounded distortion. Connections with models of nonlinear elasticity are also discussed. We study continuity properties, behavior of our mappings on null sets, topological properties like openness and discreteness, regularity of the potential inverse mappings and many other aspects.
 

Report

From the book reviews:
"This book provides a detailed and organized study of mappings of finite distortion. It would be useful to anyone interested in this topic. Numerous open problems are posed and relevant references are provided throughout." (David Matthew Freeman, Mathematical Reviews, January, 2015)

Product details

Authors Stanislav Hencl, Pekka Koskela
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 04.02.2014
 
EAN 9783319031729
ISBN 978-3-31-903172-9
No. of pages 176
Dimensions 158 mm x 14 mm x 236 mm
Weight 301 g
Illustrations XI, 176 p. 4 illus.
Series Lecture Notes in Mathematics
Subjects Natural sciences, medicine, IT, technology > Mathematics > Analysis

Analysis, B, Mathematics and Statistics, Functional Analysis, Partial Differential Equations, Complex analysis, complex variables, Differential calculus & equations, Analysis (Mathematics), Functional analysis & transforms, Mathematical analysis, Functions of a Complex Variable, Functions of complex variables

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