1 citations · 1 across the 4 of their papers we have counts for
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Long-range scattering
Avy Soffer, Gavin Stewart, Xiaoxu Wu
We study the scattering problem for a long range potential, which is time dependent. We prove the existence and completeness of the scattering wave operators, and find some propert…
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 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 solu…
Local-in-Time Existence of solutions to the Gravity Water Wave Kinetic Equation
Yulin Pan, Xiaoxu Wu
In this paper, we study the Cauchy problem for the four-wave kinetic equation describing the weak turbulence of gravity water waves. The mathematical challenges of this analysis st…
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 soluti…
Decomposition of global solutions of bi-laplacian Nonautonomous Schrödinger equations
Avy Soffer, Jiayan Wu, Xiaoxu Wu +1
We study the bi-Laplacian Schrödinger equation with a general interaction term, which may be linear or nonlinear and is allowed to be time-dependent. We show that global solutions…