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Kinetic Fokker-Planck Equations with Nonlinear Diffusion

math.AP · 2026-07-01 · unverdicted · novelty 6.0

Constructs weak solutions, proves anisotropic Besov regularity, and establishes uniqueness in the mass-preserving renormalized class for kinetic FP equations with nonlinear diffusion under mass-critical growth on Ψ.

Controlled McKean--Vlasov Contagion with State-Dependent Killing

math.OC · 2026-05-24 · unverdicted · novelty 4.0

Establishes a comparison principle for two-population killed-particle HJB equations on decomposed state spaces of alive measures and cemetery masses, plus mean-field limit and particle convergence results.

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  • Controlled McKean--Vlasov Contagion with State-Dependent Killing math.OC · 2026-05-24 · unverdicted · none · ref 35

    Establishes a comparison principle for two-population killed-particle HJB equations on decomposed state spaces of alive measures and cemetery masses, plus mean-field limit and particle convergence results.