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arxiv: 1502.00157 · v2 · pith:OMWIL4KPnew · submitted 2015-01-31 · 🧮 math.PR

Lectures on singular stochastic PDEs

M. Gubinelli , N. Perkowski This is my paper
classification 🧮 math.PR
keywords coursepdessingularstochasticaugustbasicbraziliandiffusion
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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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