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Propagation Estimates for the Boson Star Equation
Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli
We consider the boson star equation with a general two-body interaction potential and initial data in a Sobolev space. Under general assumptions on , namely that d…
math-ph2025
Exponential Decay outside of the Light Cone for the Pseudo-Relativistic Non-Autonomous Schrödinger Equation
Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli
We establish a maximal velocity bound for a pseudo-relativistic quantum particle in an external time-dependent potential. Our estimate shows that the probability for the particle,…