Mathematics | University of Parma

Professor
Academic discipline: Analisi matematica (MAT/05)
Field: Attività formative affini o integrative
Type of training activity: Related/supplementary

48 hours
of face-to-face activities

6 credits

hub: PARMA

course unit
in - - -

lectures timetable unavailable

exam calls

Learning objectives

The aim of the course is to describe some recent developments in random recent results used to study linear elleptic equations.

Prerequisites

- - -

Course unit content

During the first part of the course we shall prove a quantitative rate of homogenization with very good stochastic integrability. Next, we will develop a stochastic regularity theory (where theories of De Giorgi and Stampacchia play crucial role) and finally use this regularity theory to accelerate the rate of convergence of homogenization, and to boot strap it to the optimal one given by the Central Limit Theorem scaling.

Full programme

The aim of the course is to describe some recent developments in random homogenization. The main focus in linea elliptic equations with random coefficients.

Bibliography

Handouts.

Teaching methods

Lectures.

Assessment methods and criteria

Oral examination.

Other information