Symmetrization And Applications

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Symmetrization Applications

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Author : S. Kesavan
language : en
Publisher: World Scientific
Release Date : 2006

Symmetrization Applications written by S. Kesavan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open.One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications.The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites.

Symmetrization And Applications

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Author : S Kesavan
language : en
Publisher: World Scientific
Release Date : 2006-04-25

Symmetrization And Applications written by S Kesavan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-25 with Mathematics categories.

The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open.One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications.The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites.

Similarity Search And Applications

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Author : Giuseppe Amato
language : en
Publisher: Springer Nature
Release Date : 2019-09-24

Similarity Search And Applications written by Giuseppe Amato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-24 with Computers categories.

This book constitutes the refereed proceedings of the 12th International Conference on Similarity Search and Applications, SISAP 2019, held in Newark, NJ, USA, in October 2019. The 12 full papers presented together with 18 short and 3 doctoral symposium papers were carefully reviewed and selected from 42 submissions. The papers are organized in topical sections named: Similarity Search and Retrieval; The Curse of Dimensionality; Clustering and Outlier Detection; Subspaces and Embeddings; Applications; Doctoral Symposium Papers.

Applications Of Symmetry Methods To Partial Differential Equations

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Author : George W. Bluman
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-30

Applications Of Symmetry Methods To Partial Differential Equations written by George W. Bluman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-30 with Mathematics categories.

This is an acessible book on the advanced symmetry methods for differential equations, including such subjects as conservation laws, Lie-Bäcklund symmetries, contact transformations, adjoint symmetries, Nöther's Theorem, mappings with some modification, potential symmetries, nonlocal symmetries, nonlocal mappings, and non-classical method. Of use to graduate students and researchers in mathematics and physics.

Rewriting Techniques And Applications

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Author : Leo Bachmair
language : en
Publisher: Springer
Release Date : 2006-12-30

Rewriting Techniques And Applications written by Leo Bachmair and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-30 with Computers categories.

This book constitutes the refereed proceedings of the 11th International Conference on Rewriting Techniques and Applications, RTA 2000, held in Norwich, UK, in July 2000. The 15 revised full papers and three system descriptions presented together with two invited contributions were carefully reviewed and selected from 44 submissions. All current aspects of rewriting are addressed.

Special Functions Partial Differential Equations And Harmonic Analysis

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Author : Constantine Georgakis
language : en
Publisher: Springer
Release Date : 2014-11-07

Special Functions Partial Differential Equations And Harmonic Analysis written by Constantine Georgakis and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-07 with Mathematics categories.

This volume of papers presented at the conference in honor of Calixto P. Calderón by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.

Canadian Journal Of Mathematics

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Author :
language : en
Publisher:
Release Date : 1973-04

Canadian Journal Of Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-04 with categories.

Symmetrization In Analysis

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Author : Albert Baernstein II
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-14

Symmetrization In Analysis written by Albert Baernstein II and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-14 with Mathematics categories.

Develops the modern theory of symmetrization including applications to geometry, PDEs, and real and complex analysis.

Continuum Damage Mechanics And Numerical Applications

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Author : Wohua Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-19

Continuum Damage Mechanics And Numerical Applications written by Wohua Zhang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-19 with Science categories.

"Continuum Damage Mechanics and Numerical Applications" presents a systematic development of the theory of Continuum Damage Mechanics and its numerical engineering applications using a unified form of the mathematical formulations in anisotropic and isotropic damage models. The theoretical framework is based on the thermodynamic theory of energy and material dissipation and is described by a set of fundamental formulations of constitutive equations of damaged materials, development equations of the damaged state, and evolution equations of micro-structures. According to concepts of damage-dissipation of the material state and effective evolution of material properties, all these advanced equations, which take nonsymmetrized effects of damage aspects into account, are developed and modified from the traditional general failure models so they are more easily applied and verified in a wide range of engineering practices by experimental testing. Dr. Wohua Zhang is a Professor at Engineering Mechanics Research Center in Zhejiang University of China. Dr. Yuanqiang Cai is a Professor at Department of Civil Engineering in Zhejiang University of China.

Condenser Capacities And Symmetrization In Geometric Function Theory

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Author : Vladimir N. Dubinin
language : en
Publisher: Springer
Release Date : 2014-08-20

Condenser Capacities And Symmetrization In Geometric Function Theory written by Vladimir N. Dubinin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-20 with Science categories.

This is the first systematic presentation of the capacitory approach and symmetrization in the context of complex analysis. The content of the book is original – the main part has not been covered by existing textbooks and monographs. After an introduction to the theory of condenser capacities in the plane, the monotonicity of the capacity under various special transformations (polarization, Gonchar transformation, averaging transformations and others) is established, followed by various types of symmetrization which are one of the main objects of the book. By using symmetrization principles, some metric properties of compact sets are obtained and some extremal decomposition problems are solved. Moreover, the classical and present facts for univalent and multivalent meromorphic functions are proven. This book will be a valuable source for current and future researchers in various branches of complex analysis and potential theory.