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The Maximum Principle

2007-12-23 Mathematics
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Release : 2007-12-23
Genre : Mathematics
Kind : eBook
Book Rating : 450/5 ( reviews)

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Book Synopsis The Maximum Principle by : Patrizia Pucci

Download or read book The Maximum Principle written by Patrizia Pucci. This book was released on 2007-12-23. Available in PDF, EPUB and Kindle. Book excerpt: Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends itself to a quite remarkable number of subtle uses when combined appropriately with other notions. Intended for a wide audience, the book provides a clear and comprehensive explanation of the various maximum principles available in elliptic theory, from their beginning for linear equations to recent work on nonlinear and singular equations.

Maximum Principles and Geometric Applications

2016-02-13 Mathematics
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Release : 2016-02-13
Genre : Mathematics
Kind : eBook
Book Rating : 373/5 ( reviews)

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Book Synopsis Maximum Principles and Geometric Applications by : Luis J. Alías

Download or read book Maximum Principles and Geometric Applications written by Luis J. Alías. This book was released on 2016-02-13. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research.

Income, Wealth, and the Maximum Principle

2009-07-01 Business & Economics
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Release : 2009-07-01
Genre : Business & Economics
Kind : eBook
Book Rating : 076/5 ( reviews)

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Book Synopsis Income, Wealth, and the Maximum Principle by : Martin L. Weitzman

Download or read book Income, Wealth, and the Maximum Principle written by Martin L. Weitzman. This book was released on 2009-07-01. Available in PDF, EPUB and Kindle. Book excerpt: This compact and original exposition of optimal control theory and applications is designed for graduate and advanced undergraduate students in economics. It presents a new elementary yet rigorous proof of the maximum principle and a new way of applying the principle that will enable students to solve any one-dimensional problem routinely. Its unified framework illuminates many famous economic examples and models. This work also emphasizes the connection between optimal control theory and the classical themes of capital theory. It offers a fresh approach to fundamental questions such as: What is income? How should it be measured? What is its relation to wealth? The book will be valuable to students who want to formulate and solve dynamic allocation problems. It will also be of interest to any economist who wants to understand results of the latest research on the relationship between comprehensive income accounting and wealth or welfare.

An Introduction to Maximum Principles and Symmetry in Elliptic Problems

2000-02-25 Mathematics
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Release : 2000-02-25
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis An Introduction to Maximum Principles and Symmetry in Elliptic Problems by : L. E. Fraenkel

Download or read book An Introduction to Maximum Principles and Symmetry in Elliptic Problems written by L. E. Fraenkel. This book was released on 2000-02-25. Available in PDF, EPUB and Kindle. Book excerpt: Advanced text, originally published in 2000, on differential equations, with plentiful supply of exercises all with detailed hints.

The Robust Maximum Principle

2011-11-06 Science
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Release : 2011-11-06
Genre : Science
Kind : eBook
Book Rating : 523/5 ( reviews)

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Book Synopsis The Robust Maximum Principle by : Vladimir G. Boltyanski

Download or read book The Robust Maximum Principle written by Vladimir G. Boltyanski. This book was released on 2011-11-06. Available in PDF, EPUB and Kindle. Book excerpt: Covering some of the key areas of optimal control theory (OCT), a rapidly expanding field, the authors use new methods to set out a version of OCT’s more refined ‘maximum principle.’ The results obtained have applications in production planning, reinsurance-dividend management, multi-model sliding mode control, and multi-model differential games. This book explores material that will be of great interest to post-graduate students, researchers, and practitioners in applied mathematics and engineering, particularly in the area of systems and control.

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