An Introduction to Dispersive Equations

Date: Mon, Mar 9 - Wed, Mar 18 2015

Hour: 09:30

Speakers: Luis Vega, BCAM

Dates: 09/03/2015 - 12/03/2015 & 16/03/2015 - 18/03/2015 (7 sessions)
Time: 9:30 - 11:30 (a total of 14 hours)

The course will be an introduction to the use of techniques of Harmonic Analysis to treat some linear and non linear problems for PDE�s that describe the dynamics of dispersive waves.

1. Uniform Sobolev estimates with weights
2. Some Carleman inequalities. Uniqueness.
3. Strichartz Estimates and local smoothing.
4. Local well-posedness for dispersive equations.
5. Bilinear Morawetz estimates.
6. Scattering problems.

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Confirmed speakers:

Luis Vega, BCAM