most citedBounded Sobolev Norms for Linear Schrödinger Equations Under Resonant Perturbations

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math.AP2008★ 4 cited

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…