AI Networking Cookbook: Practical recipes for AI-assisted network automation and development
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Solutions to the Fokker-Planck equation with time-dependent force and source in $\mathbb R^3$
This paper concerns the global solutions of the kinetic Fokker-Planck (KFP) equation in $\mathbb R^3$ driven by a given external force $E=E(t,x)$ and an inhomogeneous source term $S_0=S_0(t,x,v)$. First, when $E$ and $S_0$ are sufficiently small in a suitable hybrid homogeneous Besov-Sobolev framework without any time-...