ABSTRACT :

This talk is concerned with unique continuation properties (UCP) for

solutions to some time evolution equations. We shall study two types of

UCP (1) local and (2) asymptotic at infinity.

Roughly, (1) local means : If u, v are solutions of the equation which

agree in an open set D, then they are identical in the whole domain of

definition.

Roughly, (2) asymptotic at infinity means if u, v are solutions such that

||| u(t)-v(t)|||<\Infty for t=t_1,and t=t_2, then they are identical

in the whole domain of definition.

The class of dispersive model to be considered includes the Benjamin-Ono

equation and the Camassa-Holm equation.

Venue: Sala de seminarios Felipe Álvarez, del Depto. de Ingeniería Matemática, Beauchef 851, Torre Norte.

Speaker: Gustavo Ponce

Affiliation: University of California, Santa Barbara, USA

Coordinator: Matteo Rizzi

Posted on Jul 22, 2019 in Differential Equations, Seminars