3 papers
math.AP2025
Dispersive decay for the energy-critical nonlinear Schrödinger equation
Matthew Kowalski
We prove pointwise-in-time dispersive decay for solutions to the energy-critical nonlinear Schrödinger equation in spatial dimensions for both the initial-value and fina…
math.AP2025
Dispersive decay for the energy-critical nonlinear wave equation
Matthew Kowalski
We prove pointwise-in-time dispersive decay for solutions to the energy-critical nonlinear wave equation in spatial dimension .
math.AP2024
Turbulent Threshold for Continuum Calogero-Moser Models
James Hogan, Matthew Kowalski
We determine the sharp mass threshold for Sobolev norm growth for the focusing continuum Calogero--Moser model. It is known that below the mass of , solutions to this complete…