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Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition by Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille ISBN 1611973473 9781611973471

  • SKU: BELL-21963814
Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition by Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille ISBN 1611973473 9781611973471
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Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition by Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille ISBN 1611973473 9781611973471 instant download after payment.

Publisher: SIAM-Society for Industrial and Applied Mathematics; Society for Industrial & Applied Mathematics, U
File Extension: PDF
File size: 4.82 MB
Pages: 800
Author: Attouch, Hedy;Buttazzo, Giuseppe;Michaille, Gérard
ISBN: 9781611973471, 9788420145150, 1611973473, 8420145157
Language: English
Year: 2014
Edition: 2 Aufl

Product desciption

Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition by Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille ISBN 1611973473 9781611973471 by Attouch, Hedy;buttazzo, Giuseppe;michaille, Gérard 9781611973471, 9788420145150, 1611973473, 8420145157 instant download after payment.

Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition by Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille - Ebook PDF Instant Download/Delivery: 1611973473, 9781611973471
Full download Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Edition after payment

Product details:

ISBN 10: 1611973473 
ISBN 13: 9781611973471
Author: Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille

This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision.

Among the new elements in this second edition: the section of Chapter 5 on capacity theory and elements of potential theory now includes the concepts of quasi-open sets and quasi-continuity; Chapter 6 includes an increased number of examples in the areas of linearized elasticity system, obstacles problems, convection-diffusion, and semilinear equations; Chapter 11 has been expanded to include a section on mass transportation problems and the Kantorovich relaxed formulation of the Monge problem; a new subsection on stochastic homogenization in Chapter 12 establishes the mathematical tools coming from ergodic theory, and illustrates them in the scope of statistically homogeneous materials; Chapter 16 has been augmented by examples illustrating the shape optimization procedure; and Chapter 17 is an entirely new and comprehensive chapter devoted to gradient flows and the dynamical approach to equilibria.

Audience: The book is intended for Ph.D. students, researchers, and practitioners who want to approach the field of variational analysis in a systematic way.

Variational Analysis in Sobolev and BV Spaces Applications to Pdes and Optimization 2nd Table of contents:

Part I: Basic Variational Principles

  1. Weak Solution Methods in Variational Analysis

  2. Abstract Variational Principles

  3. Complements on Measure Theory

  4. Sobolev Spaces

  5. Variational Problems: Some Classical Examples

  6. The Finite Element Method

  7. Spectral Analysis of the Laplacian

  8. Convex Duality and Optimization

Part II: Advanced Variational Analysis
9. Spaces BV and SBV
10. Relaxation in Sobolev, BV, and Young Measures Spaces
11. Γ-convergence and Applications
12. Integral Functionals of the Calculus of Variations
13. Applications in Mechanics and Computer Vision
14. Variational Problems with a Lack of Coercivity
15. An Introduction to Shape Optimization Problems
16. Gradient Flows

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Tags: Hedy Attouch, Giuseppe Buttazzo, Gerard Michaille, Variational, Sobolev

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