7 citations · 7 across the 2 of their papers we have counts for
4 papers · 1 filter
Strichartz estimates for the magnetic Schrödinger equation
Atanas Stefanov
We prove global, scale invariant Strichartz estimates for the linear magnetic Schrödinger equation with small time dependent magnetic field. This is done by constructing an appropr…
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…
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…
On the biharmonic Dirichlet problem: The higher dimensional case
Atanas Stefanov, Gregory C. Verchota
Withdrawn by authors.