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Variational Analysis in Sobolev and BV Spaces

Name: Variational Analysis in Sobolev and BV Spaces
Brand: Society for Industrial & Applied Mathematics,U.S.
SKU: 09097323
Price: 135.59 EUR
Availability: InStock
Author: Hedy Attouch
ISBN: 9781611973471

Applications to PDEs and Optimization

Hedy Attouch

Giuseppe Buttazzo

Gérard Michaille

Lingua

Inglese

Libro Rigido

Codice Libristo: 09097323

Casa editrice Society for Industrial & Applied Mathematics,U.S., ottobre 2014

Variational analysis is the subject of this self-contained guide, which provides a detailed presenta... Descrizione completa

Codice Libristo: 09097323

332 b

135.59 €

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Variational analysis is the subject of this self-contained guide, which provides a detailed presentation of the most important tools in the field, as well as applications to geometry, mechanics, elasticity, and computer vision. This second edition introduces significant new material on several topics, including: quasi-open sets and quasi-continuity in the context of capacity theory and potential theory; mass transportation problems and the Kantorovich relaxed formulation of the Monge problem; and stochastic homogenization, with mathematical tools coming from ergodic theory. It also features an entirely new and comprehensive chapter devoted to gradient flows and the dynamical approach to equilibria, and extra examples in the areas of linearized elasticity systems, obstacles problems, convection-diffusion, semilinear equations, and the shape optimization procedure. The book is intended for PhD students, researchers, and practitioners who want to approach the field of variational analysis in a systematic way.