Lectures on mappings of finite distortion / Stanislav Hencl and Pekka Koskela.

By:

Hencl, Stanislav

Contributor(s):

Koskela, Pekka [author]

Material type: Text

TextSeries: Lecture notes in mathematics ; 2096Publication details: Cham : Springer, 2014.Description: xi, 176 p. : illustrations ; 24 cmISBN:

9783319031729 (pbk. : alk. paper)

Subject(s):

DDC classification:

515.9 23 H494

Contents:

1. Introduction -- 2. Continuity -- 3. Openness and discreteness -- 4. Images and preimages of null sets -- 5. Homeomorphisms of finite distortion -- 6. Integrability of Jf and 1/Jf -- 7. Final comments -- Appendix -- References -- Index.

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.

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	515.9 H494 (Browse shelf(Opens below))	Available		136756

Total holds: 0

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Previous	515.9 H471 Selected topics in the classical theory of functions of a complex variable	515.9 H471 Complex function theory	515.9 H481 Introduction to potential theory	515.9 H494 Lectures on mappings of finite distortion /	515.9 H518 Applied and computational complex analysis	515.9 H518 Applied and computational complex analysis	515.9 H518 Applied and computational complex analysis	Next

Includes bibliographical references and index.

1. Introduction --
2. Continuity --
3. Openness and discreteness --
4. Images and preimages of null sets --
5. Homeomorphisms of finite distortion --
6. Integrability of Jf and 1/Jf --
7. Final comments --
Appendix --
References --
Index.

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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