Weak density of smooth maps for the Dirichlet energy between manifolds |
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| Authors: | MR Pakzad T Rivière |
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| Institution: | (1) Max-Planck-Institute for Mathematics in the Sciences, Inselstr. 22 - 26, 04103 Leipzig, Germany, e-mail: pakzad@mis.mpg.de, DE;(2) D-Math, ETH Zentrum, 8092 Zürich, Switzerland, e-mail: riviere@math.ethz.ch, CH |
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| Abstract: | We prove that given a simply connected compact manifold M and a
closed manifold N, any map in the Sobolev space W
1,2(M,N) can be
approximated weakly by smooth maps between M and N.
Submitted: September 2002, Final version: November 2002. |
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