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math.AP2026
The fundamental solution of a nonlinear kinetic Fokker-Planck equation
Giovanni Brigati, Guillaume Carlier, Jean Dolbeault
This paper is devoted to a fundamental solution of a nonlinear kinetic equation involving a porous medium or fast diffusion operator acting on velocities. Such a nonlinearity has i…
math.AP2025
Introduction to quantitative De Giorgi methods
Giovanni Brigati, Clément Mouhot
The theory of De Giorgi (1958) and Nash (1959) solves Hilbert's 19th problem and constitutes a major advance in the analysis of PDEs in the 20th century. This theory concerns the H…