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Gradient flows in metric spaces and in the space of probability measures / [electronic resource] :
- 作者： Ambrosio, Luigi.
- 其他作者：
- 出版： Basel : Birkhauser Basel
- 版本：Second Edition.
- 叢書名： Lectures in mathematics ETH Zurich
- 主題： Measure theory , Metric spaces , Differential equations, Partial , Monotone operators. , Evolution equations, Nonlinear. , Mathematics , Differential Geometry. , Measure and Integration. , Probability Theory and Stochastic Processes.
- ISBN： 9783764387228 (electronic bk.) 、 9783764387211 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005030289 | 機讀編目格式
館藏資訊
The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
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