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math.AP2024
Fundamental solutions to Kolmogorov-Fokker-Planck equations with rough coefficients: existence, uniqueness, upper estimates
Pascal Auscher, Cyril Imbert, Lukas Niebel
We show the existence and uniqueness of fundamental solution operators to Kolmo\-gorov-Fokker-Planck equations with rough (measurable) coefficients and local or integral diffusion…
math.AP2024
On well-posedness for parabolic Cauchy problems of Lions type with rough initial data
Pascal Auscher, Hedong Hou
We establish a complete picture for well-posedness of parabolic Cauchy problems with time-independent, uniformly elliptic, bounded measurable complex coefficients. We exhibit a ran…