##### Department of Mathematics,

University of California San Diego

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### Math 278 - Analysis Colloquium

## Fengbo Hang

#### Princeton University

## Strong and weak density of smooth maps for the Dirichlet energy

##### Abstract:

The Sobolev space $W^{1,2}(M,N)$ between two Riemannian manifolds $M$ and $N$ appears naturally in the calculus of variations. We will discuss necessary and sufficient (topological) conditions for smooth maps to be strongly or weakly dense in this space. These problems are of analytical interest and closely related to the theory of harmonic maps.

Host: Peter Ebenfelt

### February 17, 2004

### 9:30 AM

### AP&M 6438

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