Lectures on Mappings of Finite Distortion
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Beschreibung
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.
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.
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
Autor*in
Stanislav Hencl
Themen in »Lectures on Mappings of Finite Distortion«
30C65, 46E35, 26B10 Mapping of finite distortion Quasiconformal mapping Sobolev space partial differential equations
Stimmen zu »Lectures on Mappings of Finite Distortion«
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)
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