Geometric Function Theory And Non Linear Analysis

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Geometric Function Theory And Non Linear Analysis
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Author : Tadeusz Iwaniec
language : en
Publisher: Clarendon Press
Release Date : 2001
Geometric Function Theory And Non Linear Analysis written by Tadeusz Iwaniec and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Language Arts & Disciplines categories.
This unique book explores the connections between the geometry of mappings and many important areas of modern mathematics such as Harmonic and non-linear Analysis, the theory of Partial Differential Equations, Conformal Geometry and Topology. Much of the book is new. It aims to provide students and researchers in many areas with a comprehensive and up to date account and an overview of the subject as a whole.
Geometric Function Theory And Related Topics
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Author : Sudeb Mitra
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-03
Geometric Function Theory And Related Topics written by Sudeb Mitra and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-03 with Mathematics categories.
This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers on complex analysis and provides a broad survey of the present state of research in various aspects of geometric function theory. The papers in this volume reflect the directions of research in different areas of finite- and infinite-dimensional complex analysis and also give the reader an idea of how these branches of complex analysis intersect with other areas of mathematics. They will be suitable for specialists as well as aspiring researchers who are interested in various areas of geometric function theory.
Fully Nonlinear Pdes In Real And Complex Geometry And Optics
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Author : Luca Capogna
language : en
Publisher: Springer
Release Date : 2013-10-07
Fully Nonlinear Pdes In Real And Complex Geometry And Optics written by Luca Capogna and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-07 with Mathematics categories.
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
Geometric Function Theory In One And Higher Dimensions
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Author : Ian Graham
language : en
Publisher: CRC Press
Release Date : 2003-03-18
Geometric Function Theory In One And Higher Dimensions written by Ian Graham and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-03-18 with Mathematics categories.
This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions. It introduces the in
Geometric Function Theory And Applications Of Complex Analysis To Mechanics
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Author : Reiner Kühnau
language : en
Publisher:
Release Date : 1991
Geometric Function Theory And Applications Of Complex Analysis To Mechanics written by Reiner Kühnau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Differential equations, Partial categories.
Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces
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Author : Simeon Reich
language : en
Publisher: Imperial College Press
Release Date : 2005
Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces written by Simeon Reich and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.
Nonlinear Partial Differential Equations
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Author : A Benkirane
language : en
Publisher: CRC Press
Release Date : 1996-04-11
Nonlinear Partial Differential Equations written by A Benkirane and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-11 with Mathematics categories.
This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas.
Algebraic And Geometric Surgery
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Author : Andrew Ranicki
language : en
Publisher: Clarendon Press
Release Date : 2002-09-26
Algebraic And Geometric Surgery written by Andrew Ranicki and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.
This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains entry-level accounts of the various prerequisites of both algebra and topology, including basic homotopy and homology, Poincare duality, bundles, cobordism, embeddings, immersions, Whitehead torsion, Poincare complexes, spherical fibrations and quadratic forms and formations. While concentrating on the basic mechanics of surgery, this book includes many worked examples, useful drawings for illustration of the algebra and references for further reading.
Nonlinear Dynamics And Pattern Formation In The Natural Environment
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Author : A Doelman
language : en
Publisher: Taylor & Francis
Release Date : 2022-09-16
Nonlinear Dynamics And Pattern Formation In The Natural Environment written by A Doelman and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Mathematics categories.
This Research Note aims to provide an insight into recent developments in the theory of pattern formation. In the last decade there has been considerable progress in this field, both from a theoretical and a practical point of view. Recent mathematical developments concern the study of the nonlinear stability of systems at near-critical conditions by an appropriate system of modulation equations. The complexity of the original problem can be reduced drastically by this approximation. Moreover, it provides unifying point of view for a wide range of problems. New applications of the theory arise in a multitude of scientific areas such as hydrodynamics, reaction-diffusion problems, oceanography, meteorology, combustion, geophysical and biological morphodynamics and semi-conductors.This book is intended to show the interactions between the mathematical theory of nonlinear dynamics and the study of pattern generating phenomena in the natural environment. There is an intimate relationship between new insights in the mathematical aspects of nonlinear pattern formation and the comprehension of such phenomena. Therefore there are two partly overlapping main themes: one in which the emphasis is on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in various areas is discussed.The book comprises 19 contributions by experts in the field. Although the emphasis changes considerably from paper to paper, in each contribution the same two themes are present; all the authors have aimed to achieve a suitable balance between the mathematical theory and the physical phenomena.
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 2001
Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Subject headings, Library of Congress categories.