Contributions To Modern Calculus Of Variations

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Genre : Calculus of variations
Author : Lamberto Cesari
Publisher : Longman
Release : 1987
File : 260 Pages
ISBN-13 : UCAL:B4405657


Partial Differential Equations And The Calculus Of Variations

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The Italian school of Mathematical Analysis has long and glo rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.

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Genre : Mathematics
Author : COLOMBINI
Publisher : Springer Science & Business Media
Release : 2013-11-11
File : 503 Pages
ISBN-13 : 9781461598312


Introduction To The Calculus Of Variations And Control With Modern Applications

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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a

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Genre : Mathematics
Author : John A. Burns
Publisher : CRC Press
Release : 2013-08-28
File : 562 Pages
ISBN-13 : 9781466571402


Calculus Of Variations Applications And Computations

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This research presents some important domains of partial differential equations and applied mathematics including calculus of variations, control theory, modelling, numerical analysis and various applications in physics, mechanics and engineering. These topics are now part of many areas of science and have experienced tremendous development during the last decades.

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Genre : Mathematics
Author : C Bandle
Publisher : CRC Press
Release : 1995-04-26
File : 300 Pages
ISBN-13 : 0582239621


Modern Methods In The Calculus Of Variations

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This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

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Genre : Science
Author : Irene Fonseca
Publisher : Springer Science & Business Media
Release : 2007-08-22
File : 602 Pages
ISBN-13 : 9780387690063


Calculus Of Variations Classical And Modern

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A. Blaquière: Quelques aspects géométriques des processus optimaux.- C. Castaing: Quelques problèmes de mesurabilité liés à la théorie des commandes.- L. Cesari: Existence theorems for Lagrange and Pontryagin problems of the calculus of variations and optimal control of more-dimensional extensions in Sobolev space.- H. Halkin: Optimal control as programming in infinite dimensional spaces.- C. Olech: The range of integrals of a certain class vector-valued functions.- E. Rothe: Weak topology and calculus of variations.- E.O. Roxin: Problems about the set of attainability.

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Genre : Mathematics
Author : Roberto Conti
Publisher : Springer Science & Business Media
Release : 2011-06-01
File : 376 Pages
ISBN-13 : 9783642110429


Bridging Mathematics Statistics Engineering And Technology

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​​​​​​​​​​​​​​​​​​​​ This volume contains the invited contributions from talks delivered in the Fall 2011 series of the Seminar on Mathematical Sciences and Applications 2011 at Virginia State University. Contributors to this volume, who are leading researchers in their fields, present their work in a way to generate genuine interdisciplinary interaction. Thus all articles therein are selective, self-contained, and are pedagogically exposed and help to foster student interest in science, technology, engineering and mathematics and to stimulate graduate and undergraduate research and collaboration between researchers in different areas. This work is suitable for both students and researchers in a variety of interdisciplinary fields namely, mathematics as it applies to engineering, physical-chemistry, nanotechnology, life sciences, computer science, finance, economics, and game theory.​

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Genre : Mathematics
Author : Bourama Toni
Publisher : Springer Science & Business Media
Release : 2012-09-05
File : 157 Pages
ISBN-13 : 9781461445593


Nonstandard Methods In The Calculus Of Variations

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This monograph is unique in its treatment of the application of methods of nonstandard analysis to the theory of curves in the calculus of variations. It will be of particular value to researchers in the calculus of variations and optimal control theory.

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Genre : Mathematics
Author : Curtis Tuckey
Publisher : CRC Press
Release : 1993-11-22
File : 116 Pages
ISBN-13 : 0582231809


The Interaction Of Analysis And Geometry

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Based on talks given at the International Conference on Analysis and Geometry in honor of the 75th birthday of Yurii Reshetnyak (Novosibirsk, 2004), this title includes topics such as geometry of spaces with bounded curvature in the sense of Alexandrov, quasiconformal mappings and mappings with bounded distortion, and nonlinear potential theory."

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Genre : Mathematics
Author : Victor I. Burenkov
Publisher : American Mathematical Soc.
Release : 2007
File : 354 Pages
ISBN-13 : 9780821840603


Nonlinear Functional Analysis And Its Applications

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The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

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Genre : Mathematics
Author : E. Zeidler
Publisher : Springer Science & Business Media
Release : 2013-12-01
File : 1007 Pages
ISBN-13 : 9781461245667