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math.AP2025
On sharp Strichartz estimate for hyperbolic Schrödinger equation on
Baoping Liu, Xu Zheng
We prove the sharp Strichartz estimate for hyperbolic Schrödinger equation on via an incidence geometry approach. As application, we obtain optimal local well-posed…
math.AP2025
The large time asymptotics of nonlinear multichannel Schroedinger equations
Baoping Liu, Avy Soffer
We consider the Schroedinger equation with a general interaction term, which is localized in space. The interaction may be x, t dependent and non-linear. Purely non-linear parts of…