| 书目名称 | Functional Analysis and Applied Optimization in Banach Spaces | | 副标题 | Applications to Non- | | 编辑 | Fabio Botelho | | 视频video | http://file.papertrans.cn/350/349586/349586.mp4 | | 概述 | Introduces the basic concepts of real and functional analysis.Contains introductory and advanced concepts in measure and integration.Applications will be of interest to applied mathematicians, physici | | 图书封面 |  | | 描述 | This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation. Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dual approach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in related fields. | | 出版日期 | Book 2014 | | 关键词 | applied optimization; calculus of variations; duality; functional analysis; variational convex analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-06074-3 | | isbn_softcover | 978-3-319-38206-7 | | isbn_ebook | 978-3-319-06074-3 | | copyright | Springer International Publishing Switzerland 2014 |
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