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

Analysis of PDEs 2025-03-13 v2

Abstract

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

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Cite

@article{arxiv.2411.01466,
  title  = {Dispersive decay for the energy-critical nonlinear Schr\"odinger equation},
  author = {Matthew Kowalski},
  journal= {arXiv preprint arXiv:2411.01466},
  year   = {2025}
}

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29 pages