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math.AP2026
Scattering in spacetime cones for the nonlinear Schrödinger equation
Andrew Hassell, Qiuye Jia, Xiaoxu Wu
We consider the nonlinear Schrödinger equation on , with a class of `mixed' nonlinearities that admit soliton solutions. We are interested in the long-time behavi…
math.AP2026
Scattering for the focusing -critical nonlinear Schrödinger equation with large data
Qiuye Jia
In this article we prove that the solution to the focusing -critical nonlinear Schrödinger equation in dimension scatters outside finitely many arbitrarily small…