Critical trajectories in kinetic geometry are constructed as an almost exponential map, yielding a fundamental-solution-free proof of the kinetic Sobolev inequality and an optimal weak Harnack inequality for the Kolmogorov equation with rough coefficients.
Dixmier, Position relative de deux vari´ et´ es lin´ eaires ferm´ ees dans un espace de Hilbert, Revue Sci
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Critical trajectories in kinetic geometry
Critical trajectories in kinetic geometry are constructed as an almost exponential map, yielding a fundamental-solution-free proof of the kinetic Sobolev inequality and an optimal weak Harnack inequality for the Kolmogorov equation with rough coefficients.