Gradient Inequalities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821840703
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Gradient Inequalities by : Sen-Zhong Huang

Download or read book Gradient Inequalities written by Sen-Zhong Huang and published by American Mathematical Soc.. This book was released on 2006 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a survey of the relatively new research field of gradient inequalities and their applications. The exposition emphasizes the powerful applications of gradient inequalities in studying asymptotic behavior and stability of gradient-like dynamical systems. It explains in-depth how gradient inequalities are established and how they can be used to prove convergence and stability of solutions to gradient-like systems. This book will serve as an introduction for furtherstudies of gradient inequalities and their applications in other fields, such as geometry and computer sciences. This book is written for advanced graduate students, researchers and applied mathematicians interested in dynamical systems and mathematical modeling.

Sobolev Gradients and Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3642040403
Total Pages : 287 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Sobolev Gradients and Differential Equations by : John Neuberger

Download or read book Sobolev Gradients and Differential Equations written by John Neuberger and published by Springer Science & Business Media. This book was released on 2009-12-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive point of view on the subject of partial differential equations.

Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals

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Publisher : American Mathematical Society
ISBN 13 : 1470443023
Total Pages : 138 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals by : Paul M Feehan

Download or read book Łojasiewicz-Simon Gradient Inequalities for Coupled Yang-Mills Energy Functionals written by Paul M Feehan and published by American Mathematical Society. This book was released on 2021-02-10 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors' primary goal in this monograph is to prove Łojasiewicz-Simon gradient inequalities for coupled Yang-Mills energy functions using Sobolev spaces that impose minimal regularity requirements on pairs of connections and sections.

Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

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Publisher : Springer Nature
ISBN 13 : 3030627047
Total Pages : 291 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Geometric Analysis of Quasilinear Inequalities on Complete Manifolds by : Bruno Bianchini

Download or read book Geometric Analysis of Quasilinear Inequalities on Complete Manifolds written by Bruno Bianchini and published by Springer Nature. This book was released on 2021-01-18 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.

Health Inequalities

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Publisher : Oxford University Press
ISBN 13 : 0192567187
Total Pages : 339 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Health Inequalities by : Johan P. Mackenbach

Download or read book Health Inequalities written by Johan P. Mackenbach and published by Oxford University Press. This book was released on 2019-09-10 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world we live in is hugely unequal. People in a better socioeconomic position do not only lead more comfortable lives, but also longer and healthier lives. This is true not only in the poorer parts of the world but also in the richest countries, including the advanced welfare states of Western Europe which have successfully pushed back poverty and other forms of material disadvantage. Why are health inequalities - systematically higher rates of disease, disability, and premature death among people with a lower level of education, occupation or income - so persistent? How can we expect to reduce this when it persists even in the most advanced states? Written by a leading figure in public health, this book looks to answer these questions by taking a broad, critical look at the scientific evidence surrounding the explanation of health inequalities, including recent findings from the fields of epidemiology, sociology, psychology, economics, and genetics. It concludes that a simplistic view, in which health inequalities are a direct consequence of social inequality, does not tell us the full story. Drawing upon a unique series of studies covering 30 European countries and more than three decades of observations, it shows that health inequalities are partly driven by autonomous forces that are difficult to counteract, such as educational expansion, increased social mobility, and rapid but differential health improvements. Finally, the book explores how we might use these new findings to continue our efforts to build a healthier and more equal future. Offering a truly multidisciplinary perspective and an accessible writing style, Health Inequalities is an indispensable resource for health researchers, professionals, and policy-makers, as well as for social scientists interested in inequality.

Zeroing Dynamics, Gradient Dynamics, and Newton Iterations

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Publisher : CRC Press
ISBN 13 : 1498753787
Total Pages : 338 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Zeroing Dynamics, Gradient Dynamics, and Newton Iterations by : Yunong Zhang

Download or read book Zeroing Dynamics, Gradient Dynamics, and Newton Iterations written by Yunong Zhang and published by CRC Press. This book was released on 2018-10-09 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neural networks and neural dynamics are powerful approaches for the online solution of mathematical problems arising in many areas of science, engineering, and business. Compared with conventional gradient neural networks that only deal with static problems of constant coefficient matrices and vectors, the authors’ new method called zeroing dynamics solves time-varying problems. Zeroing Dynamics, Gradient Dynamics, and Newton Iterations is the first book that shows how to accurately and efficiently solve time-varying problems in real-time or online using continuous- or discrete-time zeroing dynamics. The book brings together research in the developing fields of neural networks, neural dynamics, computer mathematics, numerical algorithms, time-varying computation and optimization, simulation and modeling, analog and digital hardware, and fractals. The authors provide a comprehensive treatment of the theory of both static and dynamic neural networks. Readers will discover how novel theoretical results have been successfully applied to many practical problems. The authors develop, analyze, model, simulate, and compare zeroing dynamics models for the online solution of numerous time-varying problems, such as root finding, nonlinear equation solving, matrix inversion, matrix square root finding, quadratic optimization, and inequality solving.

Inequalities in Respiratory Health

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Publisher : European Respiratory Society
ISBN 13 : 1849841586
Total Pages : 264 pages
Book Rating : 4.8/5 (498 download)

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Book Synopsis Inequalities in Respiratory Health by : Ian P. Sinha

Download or read book Inequalities in Respiratory Health written by Ian P. Sinha and published by European Respiratory Society. This book was released on 2023-03-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Health inequalities have long been deeply engrained in society. If we are to address these inequalities, we need to reflect on what has driven them, and critically review the approaches that do and do not work. This Monograph brings together leading experts and up-and-coming researchers, in a collection of state-of-the-art articles, discussing the drivers and consequences of respiratory inequality.

Inequalities in Health

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Publisher : Oxford University Press, USA
ISBN 13 : 0199931399
Total Pages : 348 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Inequalities in Health by : Nir Eyal

Download or read book Inequalities in Health written by Nir Eyal and published by Oxford University Press, USA. This book was released on 2013-10 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Which inequalities in longevity and health among individuals, groups, and nations are unfair? And what priority should health policy attach to narrowing them? These essays by philosophers, economists, epidemiologists, and physicians attempt to determine how health inequalities should be conceptualized, measured, ranked, and evaluated.

Functional Inequalities Markov Semigroups and Spectral Theory

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Publisher : Elsevier
ISBN 13 : 0080532071
Total Pages : 391 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Functional Inequalities Markov Semigroups and Spectral Theory by : Fengyu Wang

Download or read book Functional Inequalities Markov Semigroups and Spectral Theory written by Fengyu Wang and published by Elsevier. This book was released on 2006-04-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the functional inequalities are introduced to describe:(i) the spectrum of the generator: the essential and discrete spectrums, high order eigenvalues, the principle eigenvalue, and the spectral gap;(ii) the semigroup properties: the uniform intergrability, the compactness, the convergence rate, and the existence of density;(iii) the reference measure and the intrinsic metric: the concentration, the isoperimetic inequality, and the transportation cost inequality.

Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

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Publisher : CRC Press
ISBN 13 : 1439834601
Total Pages : 434 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture by : Qi S. Zhang

Download or read book Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture written by Qi S. Zhang and published by CRC Press. This book was released on 2010-07-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The

Inequality and Social Work

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Publisher : SAGE Publications Limited
ISBN 13 : 1529614872
Total Pages : 177 pages
Book Rating : 4.5/5 (296 download)

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Book Synopsis Inequality and Social Work by : Rick Hood

Download or read book Inequality and Social Work written by Rick Hood and published by SAGE Publications Limited. This book was released on 2023-10-04 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequality lies at the heart of many of the challenges you will face as a social worker as you prepare to work with some of the most excluded, disadvantaged and vulnerable individuals, families and communities. This book is designed to help you think critically about the skills and knowledge you need to understand and tackle inequality, and provide meaningful help to those people most in need. Key topics include: - what is inequality and the role of social work - social inequalities - health and welfare inequalities - global inequalities - the role of social policy - intersectional social work, radical social work and community-based approaches.

Harnack Inequalities for Stochastic Partial Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461479347
Total Pages : 135 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Harnack Inequalities for Stochastic Partial Differential Equations by : Feng-Yu Wang

Download or read book Harnack Inequalities for Stochastic Partial Differential Equations written by Feng-Yu Wang and published by Springer Science & Business Media. This book was released on 2013-08-13 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​In this book the author presents a self-contained account of Harnack inequalities and applications for the semigroup of solutions to stochastic partial and delayed differential equations. Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the author investigates are dimension-free. This is an essentially different point from the above mentioned classical Harnack inequalities. Moreover, the main tool in the study is a new coupling method (called coupling by change of measures) rather than the usual maximum principle in the current literature.

Finite Element Method for Hemivariational Inequalities

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Publisher : Springer Science & Business Media
ISBN 13 : 1475752334
Total Pages : 278 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Finite Element Method for Hemivariational Inequalities by : J. Haslinger

Download or read book Finite Element Method for Hemivariational Inequalities written by J. Haslinger and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hemivariational inequalities represent an important class of problems in nonsmooth and nonconvex mechanics. By means of them, problems with nonmonotone, possibly multivalued, constitutive laws can be formulated, mathematically analyzed and finally numerically solved. The present book gives a rigorous analysis of finite element approximation for a class of hemivariational inequalities of elliptic and parabolic type. Finite element models are described and their convergence properties are established. Discretized models are numerically treated as nonconvex and nonsmooth optimization problems. The book includes a comprehensive description of typical representants of nonsmooth optimization methods. Basic knowledge of finite element mathematics, functional and nonsmooth analysis is needed. The book is self-contained, and all necessary results from these disciplines are summarized in the introductory chapter. Audience: Engineers and applied mathematicians at universities and working in industry. Also graduate-level students in advanced nonlinear computational mechanics, mathematics of finite elements and approximation theory. Chapter 1 includes the necessary prerequisite materials.

Introduction to Optimum Design

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Publisher : Elsevier
ISBN 13 : 0080470254
Total Pages : 751 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Introduction to Optimum Design by : Jasbir Singh Arora

Download or read book Introduction to Optimum Design written by Jasbir Singh Arora and published by Elsevier. This book was released on 2004-06-02 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering. This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text. Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable Classroom-tested for many years to attain optimum pedagogical effectiveness

Sobolev Gradients and Differential Equations

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Sobolev Gradients and Differential Equations by : John W. Neuberger

Download or read book Sobolev Gradients and Differential Equations written by John W. Neuberger and published by . This book was released on 1997 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling.

Topics in Applied Analysis and Optimisation

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Publisher : Springer Nature
ISBN 13 : 3030331164
Total Pages : 406 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Topics in Applied Analysis and Optimisation by : Michael Hintermüller

Download or read book Topics in Applied Analysis and Optimisation written by Michael Hintermüller and published by Springer Nature. This book was released on 2019-11-27 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises selected, revised papers from the Joint CIM-WIAS Workshop, TAAO 2017, held in Lisbon, Portugal, in December 2017. The workshop brought together experts from research groups at the Weierstrass Institute in Berlin and mathematics centres in Portugal to present and discuss current scientific topics and to promote existing and future collaborations. The papers include the following topics: PDEs with applications to material sciences, thermodynamics and laser dynamics, scientific computing, nonlinear optimization and stochastic analysis.

Health Inequalities and Global Justice

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Publisher : Edinburgh University Press
ISBN 13 : 0748656529
Total Pages : 256 pages
Book Rating : 4.7/5 (486 download)

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Book Synopsis Health Inequalities and Global Justice by : Patti Tamara Lenard

Download or read book Health Inequalities and Global Justice written by Patti Tamara Lenard and published by Edinburgh University Press. This book was released on 2014-08-19 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the moral dilemmas posed by disparities in health across nations