Journal of Applied Mathematics
Volume 2003 (2003), Issue 12, Pages 647-656

On the weak solutions of the forward problem in EEG

M. I. Troparevsky1 and D. Rubio2,3

1Departamento de Matemática, Facultad de Ingeniería, Universidad de Buenos Aires, Paseo Colon 850, Buenos Aires, Argentina
2Escuela de Ciencia y Tecnología, Universidad Nacional de General San Martín, San Lorenzo 3391, Pcia. Buenos Aires, Argentina
3Instituto de Ciencias, Universidad Nacional de General Sarmiento, J.M. Gutierrez 1613, Pcia. Buenos Aires, Argentina

Received 9 May 2003

Copyright © 2003 M. I. Troparevsky and D. Rubio. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The process underlying the generation of the EEG signals can be described as a set of current sources within the brain. The potential distribution produced by these sources can be measured on the scalp and inside the brain by means of an EEG recorder. There is a well-known mathematical model that relates the electric potential in the head with the intracerebral sources. In this work, we study and prove some properties of the solutions of the model for known sources. In particular, we study the error in the potential, introduced by considering an approximated shape of the head.