7 citations · 7 across the 2 of their papers we have counts for
6 papers
Attractors for the viscous Camassa-Holm equation
Milena Stanislavova, Atanas Stefanov
We show that the viscous Camassa-Holm equation subject to an external force, and where the viscosity term is given by second order differential operator in divergence form has a gl…
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Withdrawn by authors.
Optimal solvability for the Dirichlet and Neumann problem in dimension two
Atanas Stefanov, Gregory Verchota
We show existence and uniqueness for the solutions of the regularity and the Neumann problems for harmonic functions on Lipschitz domains with data in the Hardy spaces H^p, p>2/3,…