Gradient Flows: In Metric Spaces and in the Space of by Luigi Ambrosio,Nicola Gigli,Giuseppe Savare

By Luigi Ambrosio,Nicola Gigli,Giuseppe Savare

The publication is dedicated to the idea of gradient flows within the normal framework of metric areas, and within the extra particular atmosphere of the gap of chance measures, which offer a stunning hyperlink among optimum transportation thought and lots of evolutionary PDE's relating to (non)linear diffusion. specific emphasis is given to the convergence of the implicit time discretization procedure and to the mistake estimates for this discretization, extending the good demonstrated conception in Hilbert areas. The booklet is divided in major elements that may be learn independently of every other.

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