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arXiv · 2411.01466

Dispersive decay for the energy-critical nonlinear Schr\"odinger equation

Matthew Kowalski
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Abstract

We prove pointwise-in-time dispersive decay for solutions to the energy-critical nonlinear Schr\"odinger equation in spatial dimensions $d = 3,4$ for both the initial-value and final-state problems.

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Matthew Kowalski. 2024-11-03. Dispersive decay for the energy-critical nonlinear Schr\"odinger equation. https://doi.org/10.1016/j.jde.2025.02.040

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