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math.AP2026
Sharp kinetic trace theory
Lukas Niebel, Lisa Valentini
We establish sharp kinetic trace estimates and counterexamples across several velocity models. For half-space position domains, without any common bound on velocity support, we pro…
math.AP2026
Well-posedness of the Kolmogorov-Fokker-Planck equation on bounded domains
Lisa Valentini
We establish well-posedness of the stationary Kolmogorov equation on a bounded domain, with either spherical or Gaussian velocities, subject to either inflow boundary conditions or…