Matthew Kowalski

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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 $d = 3$ .

math.AP2024

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 $d = 3, 4$ for both the initial-value and final…

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 $2 π$ , solutions to this completel…