Embedded Files
Advanced course on PDEs @ Universidad Autónoma de Madrid
Lecturers: Daniel Faraco & María Ángeles García Ferrero
This course is part of the Master on Mathematics and Applications at the Universidad Autónoma de Madrid, but it is open to any interested person (please, send an e-mail to the lecturers in order to receive all the information and updates).
Its objective is twofold: to delve into useful techniques for partial differential equations (PDEs) and to provide an introduction to the area of inverse problems, mainly to the Calderón problem.
The course consists of regular lectures and mini-courses given by external experts. Registered students' assignments include the resolution of weekly questions and the exposition of a scientific article or an advanced topic related with the course.
Calendar (Spring 2026)
Calendar (Spring 2026)
Lectures will be held on Tuesdays and Thursdays between January 27th and May 14th, from 12:00 to 1:30 p.m., in Seminar Room 320 of the Department of Mathematics at the Autonomous University of Madrid.
Further details to be announced.
Mini-courses
Mini-courses
2025-2026
TBA
2024-2025
Russell Brown (U. Kentucky): Inverse Boundary Value Problems
Pedro Caro (BCAM): Calderón Inverse Problem for Lipchitz conductivities
Course notes
Course notes
Here you can find handwritten notes on the content covered in class during the Spring 2025 semester.
Bibliography
K. Astala, T. Iwaniec, G. Martin, Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane, Princeton Mathematical Series 48, Princeton, NJ: Princeton University Press (2009).
J. Feldman, M. Salo, G. Uhlmann, The Calderón Problem - An Introduction, Graduate Studies in Mathematics 253, Providence, RI: American Mathematical Society (2025).
M. Salo, Lecture notes of several courses available at his webpage.
PDEs & Inverse Problems_Notes.pdfGoogle Sites
Report abuse