{"product_id":"variational-analysis-in-sobolev-and-bv-spaces-applications-to-pdes-and-optimization-applications-to-pdes-and-optimization-hardback-9781611973471","title":"Variational Analysis in Sobolev and BV Spaces – Applications to PDEs and Optimization; Applications to PDEs and Optimization (Hardback) 9781611973471","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVariational Analysis in Sobolev and BV Spaces – Applications to PDEs and Optimization\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eApplications to PDEs and Optimization\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA self-contained guide to variational analysis that presents fundamental tools and recent developments in the field.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHedy Attouch (Author), Giuseppe Buttazzo (Author), Gérard Michaille (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611973471\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 30 October 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e805 pages\u003cbr\u003e26.2 x 18.6 x 4.5 cm, 1.554 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eVariational 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface to the second edition\u003cbr\u003e Preface to the first edition\u003cbr\u003e 1. Introduction\u003cbr\u003e Part I. Basic Variational Principles: 2. Weak solution methods in variational analysis\u003cbr\u003e 3. Abstract variational principles\u003cbr\u003e 4. Complements on measure theory\u003cbr\u003e 5. Sobolev spaces\u003cbr\u003e 6. Variational problems: some classical examples\u003cbr\u003e 7. The finite element method\u003cbr\u003e 8. Spectral analysis of the Laplacian\u003cbr\u003e 9. Convex duality and optimization\u003cbr\u003e Part II. Advanced Variational Analysis: 10. Spaces BV and SBV\u003cbr\u003e 11. Relaxation in Sobolev, BV, and Young measure spaces\u003cbr\u003e 12. Γ-Convergence and applications\u003cbr\u003e 13. Integral functionals of the calculus of variations\u003cbr\u003e 14. Applications in mechanics and computer vision\u003cbr\u003e 15. Variational problems with a lack of coercivity\u003cbr\u003e 16. An introduction to shape optimization problems\u003cbr\u003e 17. Gradient flows\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52501371322648,"sku":"9781611973471","price":98.65,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611973471i.jpg?v=1786234208","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/variational-analysis-in-sobolev-and-bv-spaces-applications-to-pdes-and-optimization-applications-to-pdes-and-optimization-hardback-9781611973471","provider":"Freshly Printed Books","version":"1.0","type":"link"}