##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis Seminar

## Connor Mooney

#### UC Irvine

## Singular Solutions to Parabolic Systems

##### Abstract:

Regularity results for linear elliptic and parabolic systems with measurable coefficients play an important role in the calculus of variations. Morrey showed that in two dimensions, solutions to linear elliptic systems are continuous. We will discuss some surprising recent examples of discontinuity formation in the plane for the parabolic problem.

### December 4, 2018

### 8:45 AM

### AP&M 7321

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