A decomposition for the Schrodinger equation with applications to bilinear and multilinear estimates
classification
🧮 math.AP
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decompositionbilinearequationmultilinearschrodingerapplicationapplicationsdescribes
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A new decomposition for frequency-localized solutions to the Schrodinger equation is given which describes the evolution of the wavefunction using a weighted sum of Lipschitz tubes. As an application of this decomposition, we provide a new proof of the bilinear Strichartz estimate as well as the multilinear restriction theorem for the paraboloid.
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