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Global Existence of Classical Solutions to the Relativistic Quantum Hydrodynamic System with Small Initial Data

Duan, Ben et al.
arXiv (All) · Papers
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analysis-of-pdes
We establish global existence, decay, and scattering for sufficiently small, smooth, and localized perturbations of a constant non-vacuum equilibrium of a relativistic quantum hydrodynamic system in three space dimensions. In logarithmic-amplitude and phase variables, the equations form a semilinear
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