Introduction to SPDEs from Probability and PDE - Lecture 3 of 4

27 April 2021
10:00
to
11:30
Dr. Avi Mayorcas

Further Information: 

Structure: 4 x 1.5hr Lectures 

Lecture 3: Variational Approach to Parabolic SPDE

  • Itˆo’s formula in Hilbert spaces
  • Variational approach to monotone, coercive SPDE
  • Concrete examples
Abstract

The course will aim to provide an introduction to stochastic PDEs from the classical perspective, that being a mixture of stochastic analysis and PDE analysis. We will focus in particular on the variational approach to semi-linear parabolic problems, `a  la  Lions. There will also be comments on  other models and approaches.

  Suggested Pre-requisites: The course is broadly aimed at graduate students with some knowledge of PDE theory and/or stochastic  analysis. Familiarity with measure theory and functional analysis will be useful.

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