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math.AP2023
The three-quasi-particle scattering problem: asymptotic completeness for short-range systems
Avy Soffer, Xiaoxu Wu
We develop an approach to scattering theory for generalized -body systems. In particular we consider a general class of three quasi-particle systems, for which we prove Asymptot…
math.AP2023
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…
math.AP2023
Soliton resolution for nonlinear Schrödinger type equations in the radial case
Avy Soffer, Xiaoxu Wu
We consider the Schrödinger equation with a general interaction term, which is localized in space, for radially symmetric initial data in dimensions, . The interaction…