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Titlebook: Calculus of Variations and Partial Differential Equations; Topics on Geometrica Luigi Ambrosio,Norman Dancer,Giuseppe Buttazzo,Ant Textbook

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書目名稱Calculus of Variations and Partial Differential Equations
副標(biāo)題Topics on Geometrica
編輯Luigi Ambrosio,Norman Dancer,Giuseppe Buttazzo,Ant
視頻videohttp://file.papertrans.cn/221/220885/220885.mp4
概述Includes supplementary material:
圖書封面Titlebook: Calculus of Variations and Partial Differential Equations; Topics on Geometrica Luigi Ambrosio,Norman Dancer,Giuseppe Buttazzo,Ant Textbook
描述The link between Calculus of Variations and Partial Differential Equations has always been strong, because variational problems produce, via their Euler-Lagrange equation, a differential equation and, conversely, a differential equation can often be studied by variational methods. At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on a classical topic (the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to pde‘s resp.), in a self-contained presentation accessible to PhD students, bridging the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and nicely illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.
出版日期Textbook 2000
關(guān)鍵詞Calculus of Variations; Lagrangian mechanics; direct variational methods; geometric measure theory; part
版次1
doihttps://doi.org/10.1007/978-3-642-57186-2
isbn_softcover978-3-540-64803-1
isbn_ebook978-3-642-57186-2
copyrightSpringer-Verlag Berlin Heidelberg 2000
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Sung-Ha Hong,Andrea Doan,Sean P. Marrelliined on a closed convex set. In the first part of the lectures, §2-3, we discuss rather briefly degree theory for mappings on Rn and for completely continuous mappings on Banach spaces. This is quite standard material and it is included here for pedagogical reasons. In §4-6, we discuss the basic deg
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Brent A. Reynolds,Loic P. Deleyrolle sets. Some nowadays well-known examples that could be quoted in this respect as model cases are the phase transitions problem, the Mumford and Shah image segmentation problem in computer vision, and the geometric evolution problems such as for instance the motion by mean curvature.
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https://doi.org/10.1007/978-3-642-57186-2Calculus of Variations; Lagrangian mechanics; direct variational methods; geometric measure theory; part
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