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Author: Stanislav Hencl
Publisher: Springer
ISBN: 3319031732
Category : Mathematics
Languages : en
Pages : 182
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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.
Author: Stanislav Hencl
Publisher: Springer
ISBN: 3319031732
Category : Mathematics
Languages : en
Pages : 182
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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.
Author: Jani Onninen
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Tadeusz Iwaniec
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Jani Onninen
Publisher:
ISBN: 9789513912567
Category : Analytic mappings
Languages : en
Pages : 24
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Book Description
Author: Janne Kauhanen
Publisher:
ISBN:
Category :
Languages : en
Pages : 15
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Book Description
Author: Kari Astala
Publisher: Princeton University Press
ISBN: 9780691137773
Category : Mathematics
Languages : en
Pages : 708
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Book Description
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.
Author: Pekka Koskela
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Olli Martio
Publisher: Springer Science & Business Media
ISBN: 0387855882
Category : Mathematics
Languages : en
Pages : 368
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Book Description
Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.
Author: Sari Kallunki
Publisher:
ISBN: 9789514109263
Category : Analytic mappings
Languages : en
Pages : 33
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Book Description
Author: Daniel Faraco
Publisher:
ISBN:
Category :
Languages : en
Pages : 19
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Book Description
