Dispersive decay and scattering for continuum Calogero--Moser models
Rowan Killip, Thierry Laurens, Jason Murphy, Monica Visan
Abstract
We prove pointwise decay and scattering for small-mass solutions to the focusing and defocusing continuum Calogero--Moser models under suitable decay assumptions on the initial data. Our proof is based on an explicit formula for solutions and the exact conservation of the Galilean vector field associated to the equation.
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