By Luigi Ambrosio
The e-book is dedicated to the speculation of gradient flows within the common framework of metric areas, and within the extra particular atmosphere of the distance of chance measures, which supply a stunning hyperlink among optimum transportation idea and lots of evolutionary PDE's relating to (non)linear diffusion. specific emphasis is given to the convergence of the implicit time discretization approach and to the mistake estimates for this discretization, extending the good verified conception in Hilbert areas. The e-book is divided in major elements that may be learn independently of one another.
Read or Download Gradient Flows: In Metric Spaces and in the Space of Probability Measures (Lectures in Mathematics. ETH Zürich) PDF
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