##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Yu Yuan

#### University of Washington

## Fully nonlinear elliptic equations

##### Abstract:

We survey some recent development of a priori estimates for fully nonlinear elliptic equations without convexity. Such equations as special Lagrangian equations, Isaacs equations arise from differential geometry, stochastic control theory. Note that the theory of a priori estimates for fully nonlinear elliptic equations with convexity condition is well developed.

Host: Peter Ebenfelt

### January 6, 2005

### 3:00 PM

### AP&M 6438

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