Provisional programme

Seminars take place in Lecture Room C in the Watson building (Edgbaston campus).

• 12:00 - 1:00 Lunch
• 1:00 - 1:50 Professor George Dassios, University of Cambridge Title: On the problem of inverting electric and magnetic brain activity
• 2:00 - 2:25 Dr Cristiana Sebu, Oxford Brookes University Title: An integral equation method for the inverse conductivity problem
• 2:30 - 2:55 Dr Olha Ivanyshyn, Georg-August University of Göttingen Title:Nonlinear integral equation methods for sound-hard obstacle reconstruction
• 3:00 - 3:30 Coffee Break
• 3:30 - 4:20 Professor Dinh Nho Hào, Hanoi Institute of Mathematics/ Vrije University Brussels Title: On some parabolic equations backwards in time
• 4.30 - 5:00 Professor Marián Slodička, Ghent University Title: Boundary data completion in eddy-current modelling

Abstract(Professor George Dassios):
Electroencephalography (EEG) and Magnetoencephalography (MEG) are the only two known brain imaging techniques with temporal resolution (one millisecond) which allows the study of the functional brain. Unfortunately, the inverse problems associated with these methods suffer from lack of uniqueness and from very complicated dependence of the geometry of the brain. Even the simplest possible case, that of a spherical brain model, is not completely understood in its complete generality today. The talk will be concentrated on the mathematical formulation of the EEG and MEG problems, and the main results known today will be presented. Finally, a set of open problems of mathematical and practical importance will be discussed.

Abstract (Professor Dinh Nho Hào):
There have been many papers devoted to parabolic equations backwards in time, but very few devoted to the case of time-dependent coefficients. In this talk we deliver some stability estimates for parabolic equations backwards in time, specially for that of time-dependent coefficients. Some regularization techniques for them are proposed.

The abstract of Professor Slodička, is here.

Organizer: Tomas Johansson b.t.johansson at bham.ac.uk
 
 
 

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