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math.AP2001
On the well-posedness of the wave map problem in high dimensions
Andrea Nahmod, Atanas Stefanov, Karen Uhlenbeck
We construct a gauge theoretic change of variables for the wave map from into a compact group or Riemannian symmetric space, prove a new multiplication theorem for m…
math.AP2001
On Schrödinger maps
Andrea Nahmod, Atanas Stefanov, Karen Uhlenbeck
We study the question of well-posedness of the Cauchy problem for Schrödinger maps from $\rone \times \rtwo$ to the sphere $\stwo$ or to , the hyperbolic space. The…