Department of Mathematics

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Colloquium: Burak Gürel, Smoothing for Dispersive PDE
Wednesday, 14. February 2018, 13:30 - 14:30
Burak Gürel's Talk:

Smoothing for Dispersive PDE

Abstract: Smoothing effect is well studied for many dispersive equations on Rd where dispersion
becomes the primary character of the evolution. On circular, semi-bounded or bounded domains,
however, the effect of dispersion is somewhat more complicated to handle. After Bourgain’s work
and introduction of the Banach spaces tailored for the particular dispersive PDE of interest, many
of the previous well-posedness results have been improved, and new ones have been obtained
on different domains. We will discuss the nonlinear smoothing effect and Bourgain spaces as
refinements of Sobolev spaces. Then we will present some recent smoothing results for Cauchy
and initial-boundary value problems of Schrödinger type equations.


Date: Wednesday, February 14, 2018

Time: 13:30 pm

Room: TB 130