Dispersive decay for the energy-critical nonlinear Schrödinger equation

Abstract

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

29 pages

References in corpus (2)

• Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrodinger equation in the radial case
• Turbulent Threshold for Continuum Calogero-Moser Models