##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## Jon Armel

#### UCSD, Graduate Student

## A Linear, First Order PDE with No Solution

##### Abstract:

In 1956 Hans Lewy shocked the world. For decades, people had believed that just like ODEs, well-behaved PDEs should have a general existence theorem, and that it was only a matter of time before it was proven. However, Lewy constructed a very simple example to prove them all wrong. He was in as much shock and awe as they were. We'll talk about this equation and the proof, which coincidentally uses a lot or CR geometry. The talk should be accessible to anyone who has ever taken a partial derivative.

### April 10, 2008

### 11:00 AM

### AP&M B412

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