2 citations · 6 across the 15 of their papers we have counts for
5 papers · 1 filter
Local Decay Estimates
Avy Soffer, Xiaoxu Wu
We give a proof of Local Decay Estimates for Schrödinger type equations, which is based on the knowledge of Asymptotic Completeness (AC). This approach extends to time dependent po…
On the Existence of Self-Similar solutions for some Nonlinear Schrödinger equations
Avy Soffer, Xiaoxu Wu
We construct solutions of Schrödinger equations which are asymptotically self-similar solutions as time goes to infinity. Also included are situations with two bubbles. These solut…
On The large Time Asymptotics of Klein-Gordon type equations with General Data
Avy Soffer, Xiaoxu Wu
We study the Klein-Gordon equation with general interaction terms, which may be linear or nonlinear, and space-time dependent. We initiate the study of such equations with large (n…
On The large Time Asymptotics of Schrödinger type equations with General Data
Avy Soffer, Xiaoxu Wu
For the Schrödinger equation with a general interaction term, which may be linear or nonlinear, time dependent and including charge transfer potentials, we prove the global solutio…
Boundedness of the Scattering Wave Operators of Schrödinger Dynamics -- Part 2
Avy Soffer, Xiaoxu Wu
We give another proof of the boundedness of scattering wave operators, at the low frequency part of the data. The proof also allows the control of the commutator of multiplic…