Convex Minimizers Of Variational Problems

Download Convex Minimizers Of Variational Problems full books in PDF, epub, and Kindle. Read online Convex Minimizers Of Variational Problems ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Convex Variational Problems

Author : Michael Bildhauer
Publisher : Springer
ISBN 13 : 3540448853
Total Pages : 222 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Convex Variational Problems by : Michael Bildhauer

Download or read book Convex Variational Problems written by Michael Bildhauer and published by Springer. This book was released on 2003-01-01 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions

Author : Michael Bildhauer
Publisher : Springer Science & Business Media
ISBN 13 : 9783540402985
Total Pages : 232 pages
Book Rating : 4.4/5 (29 download)

DOWNLOAD NOW!

Book Synopsis Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions by : Michael Bildhauer

Download or read book Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions written by Michael Bildhauer and published by Springer Science & Business Media. This book was released on 2003-06-20 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

Variational and Free Boundary Problems

Author : Avner Friedman
Publisher : Springer Science & Business Media
ISBN 13 : 1461383579
Total Pages : 210 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Variational and Free Boundary Problems by : Avner Friedman

Download or read book Variational and Free Boundary Problems written by Avner Friedman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications VARIATIONAL AND FREE BOUNDARY PROBLEMS is based on the proceedings of a workshop which was an integral part of the 1990- 91 IMA program on "Phase Transitions and Free Boundaries. " The aim of the workshop was to highlight new methods, directions and problems in variational and free boundary theory, with a concentration on novel applications of variational methods to applied problems. We thank R. Fosdick, M. E. Gurtin, W. -M. Ni and L. A. Peletier for organizing the year-long program and, especially, J. Sprock for co-organizing the meeting and co-editing these proceedings. We also take this opportunity to thank the National Science Foundation whose financial support made the workshop possible. Avner Friedman Willard Miller, Jr. PREFACE In a free boundary one seeks to find a solution u to a partial differential equation in a domain, a part r of its boundary of which is unknown. Thus both u and r must be determined. In addition to the standard boundary conditions on the un known domain, an additional condition must be prescribed on the free boundary. A classical example is the Stefan problem of melting of ice; here the temperature sat isfies the heat equation in the water region, and yet this region itself (or rather the ice-water interface) is unknown and must be determined together with the tempera ture within the water. Some free boundary problems lend themselves to variational formulation.

Differential Equations, Chaos and Variational Problems

Author : Vasile Staicu
Publisher : Springer Science & Business Media
ISBN 13 : 3764384824
Total Pages : 436 pages
Book Rating : 4.7/5 (643 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations, Chaos and Variational Problems by : Vasile Staicu

Download or read book Differential Equations, Chaos and Variational Problems written by Vasile Staicu and published by Springer Science & Business Media. This book was released on 2008-03-12 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The volume brings the reader to the border of research in differential equations, a fast evolving branch of mathematics that, besides being a main subject for mathematicians, is one of the mathematical tools most used both by scientists and engineers.

Nonconvex Optimal Control and Variational Problems

Author : Alexander J. Zaslavski
Publisher : Springer Science & Business Media
ISBN 13 : 1461473780
Total Pages : 382 pages
Book Rating : 4.4/5 (614 download)

DOWNLOAD NOW!

Book Synopsis Nonconvex Optimal Control and Variational Problems by : Alexander J. Zaslavski

Download or read book Nonconvex Optimal Control and Variational Problems written by Alexander J. Zaslavski and published by Springer Science & Business Media. This book was released on 2013-06-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonconvex Optimal Control and Variational Problems is an important contribution to the existing literature in the field and is devoted to the presentation of progress made in the last 15 years of research in the area of optimal control and the calculus of variations. This volume contains a number of results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions of variational problems. Chapter 1 contains an introduction as well as examples of select topics. Chapters 2-5 consider the well-posedness condition using fine tools of general topology and porosity. Chapters 6-8 are devoted to the nonoccurrence of the Lavrentiev phenomenon and contain original results. Chapter 9 focuses on infinite-dimensional linear control problems, and Chapter 10 deals with “good” functions and explores new understandings on the questions of optimality and variational problems. Finally, Chapters 11-12 are centered around the turnpike property, a particular area of expertise for the author. This volume is intended for mathematicians, engineers, and scientists interested in the calculus of variations, optimal control, optimization, and applied functional analysis, as well as both undergraduate and graduate students specializing in those areas. The text devoted to Turnpike properties may be of particular interest to the economics community.

Complementarity and Variational Problems

Author : Michael C. Ferris
Publisher : SIAM
ISBN 13 : 9780898713916
Total Pages : 494 pages
Book Rating : 4.7/5 (139 download)

DOWNLOAD NOW!

Book Synopsis Complementarity and Variational Problems by : Michael C. Ferris

Download or read book Complementarity and Variational Problems written by Michael C. Ferris and published by SIAM. This book was released on 1997-01-01 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: After more than three decades of research, the subject of complementarity problems and its numerous extensions has become a well-established and fruitful discipline within mathematical programming and applied mathematics. Sources of these problems are diverse and span numerous areas in engineering, economics, and the sciences. Includes refereed articles.

Variational Methods for Structural Optimization

Author : Andrej Cherkaev
Publisher : Springer Science & Business Media
ISBN 13 : 1461211883
Total Pages : 561 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Variational Methods for Structural Optimization by : Andrej Cherkaev

Download or read book Variational Methods for Structural Optimization written by Andrej Cherkaev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.

Convex Analysis and Monotone Operator Theory in Hilbert Spaces

Author : Heinz H. Bauschke
Publisher : Springer Science & Business Media
ISBN 13 : 144199467X
Total Pages : 470 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!

Book Synopsis Convex Analysis and Monotone Operator Theory in Hilbert Spaces by : Heinz H. Bauschke

Download or read book Convex Analysis and Monotone Operator Theory in Hilbert Spaces written by Heinz H. Bauschke and published by Springer Science & Business Media. This book was released on 2011-04-19 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related constructive fixed point theory is presented, that allows for a wide range of algorithms to construct solutions to problems in optimization, equilibrium theory, monotone inclusions, variational inequalities, best approximation theory, and convex feasibility. The book is accessible to a broad audience, and reaches out in particular to applied scientists and engineers, to whom these tools have become indispensable.

Partial Differential Equations

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 0387215956
Total Pages : 331 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equations by : Jürgen Jost

Download or read book Partial Differential Equations written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern and systematic treatment of main approaches; Several additions have been made to the German edition, most notably coverage of eigenvalues and expansions; Emphasis on methods relevant for both linear and nonlinear equations; Contains chapter summaries, detailed illustrations and numerous exercises

Ill-posed Variational Problems and Regularization Techniques

Author : Michel Thera
Publisher : Springer Science & Business Media
ISBN 13 : 3642457800
Total Pages : 281 pages
Book Rating : 4.6/5 (424 download)

DOWNLOAD NOW!

Book Synopsis Ill-posed Variational Problems and Regularization Techniques by : Michel Thera

Download or read book Ill-posed Variational Problems and Regularization Techniques written by Michel Thera and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent developments in the field of ill-posed variational problems and variational inequalities, covering a large range of theoretical, numerical and practical aspects. The main topics are: - Regularization techniques for equilibrium and fixed point problems, variational inequalities and complementary problems, - Links between approximation, penalization and regularization, - Bundle methods, nonsmooth optimization and regularization, - Error Bounds for regularized optimization problems.

Variational Views in Mechanics

Author : Paolo Maria Mariano
Publisher : Springer Nature
ISBN 13 : 3030900517
Total Pages : 315 pages
Book Rating : 4.0/5 (39 download)

DOWNLOAD NOW!

Book Synopsis Variational Views in Mechanics by : Paolo Maria Mariano

Download or read book Variational Views in Mechanics written by Paolo Maria Mariano and published by Springer Nature. This book was released on 2022-02-08 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a timely survey of interactions between the calculus of variations and theoretical and applied mechanics. Chapters have been significantly expanded since preliminary versions appeared in a special issue of the Journal of Optimization Theory and Applications (184(1), 2020) on “Calculus of Variations in Mechanics and Related Fields”. The variety of topics covered offers researchers an overview of problems in mechanics that can be analyzed with variational techniques, making this a valuable reference for researchers in the field. It also presents ideas for possible future areas of research, showing how the mastery of these foundational mathematical techniques can be used for many exciting applications. Specific topics covered include: Topology optimization Identification of material properties Optimal control Plastic flows Gradient polyconvexity Obstacle problems Quasi-monotonicity Variational Views in Mechanics will appeal to researchers in mathematics, solid-states physics, and mechanical, civil, and materials engineering.

Mathematical Methods in Continuum Mechanics of Solids

Author : Martin Kružík
Publisher : Springer
ISBN 13 : 3030020657
Total Pages : 624 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Methods in Continuum Mechanics of Solids by : Martin Kružík

Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.

Geometric Properties for Parabolic and Elliptic PDE's

Author : Rolando Magnanini
Publisher : Springer Science & Business Media
ISBN 13 : 8847028418
Total Pages : 294 pages
Book Rating : 4.8/5 (47 download)

DOWNLOAD NOW!

Book Synopsis Geometric Properties for Parabolic and Elliptic PDE's by : Rolando Magnanini

Download or read book Geometric Properties for Parabolic and Elliptic PDE's written by Rolando Magnanini and published by Springer Science & Business Media. This book was released on 2012-11-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.

Optimization and Control with Applications

Author : Liqun Qi
Publisher : Springer Science & Business Media
ISBN 13 : 0387242554
Total Pages : 587 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Optimization and Control with Applications by : Liqun Qi

Download or read book Optimization and Control with Applications written by Liqun Qi and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of 28 refereed papers grouped according to four broad topics: duality and optimality conditions, optimization algorithms, optimal control, and variational inequality and equilibrium problems. Suitable for researchers, practitioners and postgrads.

Fine Regularity of Solutions of Elliptic Partial Differential Equations

Author : Jan Malý
Publisher : American Mathematical Soc.
ISBN 13 : 0821803352
Total Pages : 309 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Fine Regularity of Solutions of Elliptic Partial Differential Equations by : Jan Malý

Download or read book Fine Regularity of Solutions of Elliptic Partial Differential Equations written by Jan Malý and published by American Mathematical Soc.. This book was released on 1997 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to give a comprehensive exposition of results surrounding the work of the authors concerning boundary regularity of weak solutions of second order elliptic quasilinear equations in divergence form. The book also contains a complete development of regularity of solutions of variational inequalities, including the double obstacle problem, where the obstacles are allowed to be discontinuous. The book concludes with a chapter devoted to the existence theory thus providing the reader with a complete treatment of the subject ranging from regularity of weak solutions to the existence of weak solutions.

Handbook of Differential Equations: Stationary Partial Differential Equations

Author : Michel Chipot
Publisher : Elsevier
ISBN 13 : 0080495060
Total Pages : 736 pages
Book Rating : 4.0/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Differential Equations: Stationary Partial Differential Equations by : Michel Chipot

Download or read book Handbook of Differential Equations: Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2004-07-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields. - Independent chapters - Most recent advances in each fields - Hight didactic quality - Self contained - Excellence of the contributors - Wide range of topics

Handbook of Convex Geometry

Author : Bozzano G Luisa
Publisher : Elsevier
ISBN 13 : 0080934404
Total Pages : 769 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Convex Geometry by : Bozzano G Luisa

Download or read book Handbook of Convex Geometry written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 769 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions. The selection first offers information on the geometry of numbers, lattice points, and packing and covering with convex sets. Discussions focus on packing in non-Euclidean spaces, problems in the Euclidean plane, general convex bodies, computational complexity of lattice point problem, centrally symmetric convex bodies, reduction theory, and lattices and the space of lattices. The text then examines finite packing and covering and tilings, including plane tilings, monohedral tilings, bin packing, and sausage problems. The manuscript takes a look at valuations and dissections, geometric crystallography, convexity and differential geometry, and convex functions. Topics include differentiability, inequalities, uniqueness theorems for convex hypersurfaces, mixed discriminants and mixed volumes, differential geometric characterization of convexity, reduction of quadratic forms, and finite groups of symmetry operations. The selection is a dependable source of data for mathematicians and researchers interested in convex geometry.