##### Department of Mathematics,

University of California San Diego

****************************

### Learning Seminar in Scattering Theory

## Jacob Sterbenz

#### UCSD

## \Huge \bf Some simple $L^p$ estimates for oscillatory integrals Name

##### Abstract:

This week we'll talk about proving $L^p$ estimates for solutions to constant coefficient dispersive equations. This is really a (quite specialized) problem in a much larger field known as "geometric harmonic analysis". We'll discuss some of the simplest tools for proving estimates of this type, and also a bit about the structure of the oscillatory integrals themselves. If time permits, we'll give some applications of these estimates to non-linear problems.

### November 6, 2007

### 9:00 AM

### AP&M 6218

****************************