Layer Potential Methods

DATES: 17-21 October 2016 (5 sessions)
TIME: 09:30 - 11:30 (a total of 10 hours)

This course is devoted to solve the Dirichlet and Neumann problems for Laplace's equation by the method of layer potentials.

PROGRAMME
We will start introducing the Dirichlet and Neumann problems for the Laplacian and the associated double and single layer potentials. We will continue discussing some basic facts about integral operators. Then, we will study in details several aspects of the double and single layer potentials.
Eventually, we will solve the Dirichlet and Neumann problems. Along the course, we will introduce and discuss some required results as those deduced in the Fredholm theory.

PREREQUISITES
Basic calculus in several variables.

BIBLIOGRAPHY
The basic reference will be the book "Introduction to partial differential equations" (2nd edition) by Folland. Complementary references will be given throughout the course.

*Registration is free, but inscription is required before 12th October: So as to inscribe send an e-mail to roldan@bcamath.org. Student grants are available. Please, let us know if you need support for travel and accommodation expenses.

• BCAM-UPV/EHU Course CARO