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math.AP2020
On the decay problem for the Zakharov and Klein-Gordon Zakharov systems in one dimension
María E. Martínez
We are interested in the long time asymptotic behavoir of solutions to the scalar Zakharov system \[ i u_{t} + Δu = nu,\] \[n_{tt} - Δn= Δ|u|^2\] and the Klein-Gordon Zakharov syst…
math.AP2019
Decay of small odd solutions for long range Schrödinger and Hartree equations in one dimension
María E. Martínez
We consider the long time asymptotics of (not necessarily small) odd solutions to the nonlinear Schrödinger equation with semi-linear and nonlocal Hartree nonlinearities, in one di…