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math.AP2018
Scattering for defocusing energy subcritical nonlinear wave equations
Benjamin Dodson, Andrew Lawrie, Dana Mendelson +1
We consider the Cauchy problem for the defocusing power type nonlinear wave equation in -dimensions for energy subcritical powers in the range . We prove that…
math.AP2018
Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
Benjamin Dodson, Jonas Luhrmann, Dana Mendelson
We consider the Cauchy problem for the defocusing cubic nonlinear Schrödinger equation in four space dimensions and establish almost sure local well-posedness and conditional almos…