Unique Continuation Properties of Nonlocal Nonlinear Dispersive Models

Speaker: Gustavo Ponce, Professor, Department of Mathematics, University of California, Santa Barbara, USA

Abstract: We shall study unique continuation properties for a class of  non-local “dispersive" models.

We shall consider two type of unique continuation problems: local and asymptotic to infinity.

We shall review several results for several equations including the Benjamin-Ono equation,  the ILW equation., the Camassa-Holm equation, and the Benjamin-Bona-Mahony equation.