##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis

## Burak Erdogan

#### UIUC

## Fractal solutions of dispersive PDE on the torus

##### Abstract:

In this talk we discuss qualitative behavior of certain solutions to linear and nonlinear dispersive partial differential equations such as Schrodinger and Korteweg-de Vries equations. In particular, we will present results on the fractal dimension of the solution graph and the dependence of solution profile on the algebraic properties of time.

Host: Jacob Sterbenz

### March 14, 2019

### 11:00 AM

### AP&M 7321

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