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Lectures on Mappings of Finite Distortion de Stanislav Hencl

Lectures on Mappings of Finite Distortion: Lecture Notes in Mathematics, cartea 2096

Autor Stanislav Hencl, Pekka Koskela
en Limba Engleză Paperback – 4 feb 2014
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.
 


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Specificații

ISBN-13: 9783319031729
ISBN-10: 3319031724
Pagini: 192
Ilustrații: XI, 176 p. 4 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.28 kg
Ediția:2014
Editura: Springer International Publishing
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

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.

Recenzii

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)

Textul de pe ultima copertă

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.

Caracteristici

Self-contained introduction to an active, important and interesting field of research Includes an Appendix with several basic results on Real Analysis, theory of Sobolev functions and Geometric Measure Theory Suitable for any PhD student looking for an introduction to the subject Includes supplementary material: sn.pub/extras