3 papers
math.AP2019
Decay and asymptotics for the 1D Klein-Gordon equation with variable coefficient cubic nonlinearities
Hans Lindblad, Jonas Luhrmann, Avy Soffer
We obtain sharp decay estimates and asymptotics for small solutions to the one-dimensional Klein-Gordon equation with constant coefficient cubic and spatially localized, variable c…
math.AP2018
Local smoothing estimates for Schrödinger equations on hyperbolic space
Andrew Lawrie, Jonas Luhrmann, Sung-Jin Oh +1
We establish global-in-time frequency localized local smoothing estimates for Schrödinger equations on hyperbolic space . In the presence of symmetric first and zerot…
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…