most citedBounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations

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math.SP2008★ 8 cited

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.

math.SP2008★ 5 cited

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…