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Variational Analysis in Sobolev and BV Spaces
Hedy AttouchGiuseppe ButtazzoGerard Michaille
其他書名
Applications to PDEs and Optimization, Second Edition
出版SIAM, 2014-10-02
主題Mathematics / OptimizationMathematics / Differential Equations / PartialMathematics / Functional AnalysisMathematics / Complex AnalysisMathematics / Differential Equations / Ordinary
ISBN16119734819781611973488
URLhttp://books.google.com.hk/books?id=3hGuBAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.

This second edition covers several new topics: new section on capacity theory and elements of potential theory now includes the concepts of quasi-open sets and quasi-continuity; increased number of examples in the areas of linearized elasticity system, obstacles problems, convection-diffusion, and semilinear equations; new section on mass transportation problems and the Kantorovich relaxed formulation of the Monge problem; new subsection on stochastic homogenization establishes the mathematical tools coming from ergodic theory; and an entirely new and comprehensive chapter (17) devoted to gradient flows and the dynamical approach to equilibria.

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