Abstract
Using the theory of almost conserved energies and the "I-method" developed by Colliander, Keel, Staffilani, Takaoka and Tao, we prove that the initial value problem for a higher order Schrodinger equation is globally well-posed in Sobolev spaces of order s > 1/4. This result is sharp.
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Carvajal, X. Sharp Global Well-Posedness for a Higher Order Schrodinger Equation. J Fourier Anal Appl 12, 53–70 (2006). https://doi.org/10.1007/s00041-005-5028-3
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DOI: https://doi.org/10.1007/s00041-005-5028-3