Variational Methods 2024 pdf epub mobi 电子书

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发表于2024-12-01

Variational Methods 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Michael Struwe

出品人:

页数:302

译者:

出版时间:2008-6-13

价格:USD 179.00

装帧:Hardcover

isbn号码:9783540740124

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图书标签: 数学

Variational Methods 2024 pdf epub mobi 电子书图书描述

Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau's problem by Douglas and RadA3. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated.

Variational Methods 2024 pdf epub mobi 电子书

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这本书不是textbook，因为写得并不系统；也不是monograph, 书中绝大多数结果已经发表；也不是对变分法的survey。但适合作为变分课程的扩充，涵盖的方法很广，尤其对于处理非线性PDE很有用。书不厚，因此证明较简略，中间有不少gap，要了解细节的话需要读作者给出的references。最后一节很适合作为了解harmonic maps的入门。

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