Lectures on Mappings of Finite Distortion: 2096 2014th Edition

Lectures on Mappings of Finite Distortion: 2096 2014th Edition book cover

Lectures on Mappings of Finite Distortion: 2096 2014th Edition

Author(s): Stanislav Hencl (Author), Pekka Koskela (Author)

  • Publisher: Springer
  • Publication Date: 4 Feb. 2014
  • Edition: 2014th
  • Language: English
  • Print length: 187 pages
  • ISBN-10: 9783319031729
  • ISBN-13: 9783319031729

Book Description

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.

Editorial Reviews

Review

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)

From the Back Cover

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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