Sharp global well-posedness for a higher order Schr\"odinger equation
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🧮 math.AP
math-phmath.MP
keywords
orderequationhigherodingerschralmostcollianderconserved
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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 Schr\"odinger equation is globally well-posed in Sobolev spaces of order $s>1/4$.
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