8 citations · 19 across the 4 of their papers we have counts for
4 papers
Bounds on Sobolev norms for the nonlinear Schrödinger equation on general tori
F. Catoire, W. -M. Wang
We prove Strichartz estimates on general flat d-torus for arbitrary d. Using these estimates, we prove local wellposedness for the cubic nonlinear Schrödinger equations in appropri…
Quasi-periodic solutions of nonlinear random Schrödinger equations
J. Bourgain, W. -M. Wang
We construct quasi-periodic solutions to the lattice nonlinear random Schroedinger equation on a set of potentials of positive measure via using a Lyapunov-Schmidt decomposition an…
Bounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations
W. -M. Wang
We prove that the Sobolev norm for a 1-D periodic Schroedinger equation remain bounded under small resonant perturbations.
Logarithmic bounds on Sobolev norms for time-dependent linear Schrödinger equations
W. -M. Wang
We prove that in 1-D the growth of Sobolev norms for time-dependent linear Schrödinger equations is at most logarithmic in time for any (fixed) potential which is analytic (or Gevr…