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Lectures on singular stochastic PDEs

book
Language:
Author: M. Gubinelli, N. Perkowski
Url: http://arxiv.org/abs/1502.00157v1
Format: Pdf
Year: 2014
Category: Probability Theory
Pages: 67
Clicks: 178

Description
These are the notes for a course at the 18th Brazilian School of Probability held from August 3rd to 9th, 2014 in Mambucaba. The aim of the course is to introduce the basic problems of non--linear PDEs with stochastic and irregular terms. We explain how it is possible to handle them using two main techniques: the notion of energy solutions and that of paracontrolled distributions. In order to maintain a link with physical intuitions, we motivate such singular SPDEs via a homogenisation result for a diffusion in a random potential.

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