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Department of Mathematics,
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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