Gradient Flows

Released on by Luigi Ambrosio
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  • Gradient Flows Book Detail

  • Author : Luigi Ambrosio
  • Release Date : 2008-10-29
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 333
  • ISBN 13 : 376438722X
  • File Size : 83,83 MB
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Gradient Flows by Luigi Ambrosio PDF Summary

Book Description: 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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This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of tw