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24-04-2017, 09:46
Ημερομηνία: 24/5/2017
Ώρα: 13:00-14:00
Αίθουσα: B/M 342

Ομιλητής: Professor Alex Himonas, Department of Mathematics, University of Notre Dame

Τίτλος: The unified transform method for solving initial-boundary value problems of evolution equations.

Περίληψη. The unified transform method (UTM), which is also known as the Fokas transform method, was introduced in late nineties as the analogue of the inverse scattering transform machinery for integrable nonlinear equations on the half-line. It was later understood that it also has significant implications for linear initial-boundary value problems. In this talk, this method is employed in a new direction, namely for showing well-posedness of nonlinear dispersive equations, including the nonlinear Schr"odinger equation and the Korteweg-de Vries equation, on the half-line with data in Sobolev spaces. This is work in collaboration with A. Fokas and D. Mantzavinos.