An Introduction to Fully Nonlinear Parabolic Equations

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Regularity for parabolic integro-differential equations with very irregular kernels (2014, background): “26 in [20], which the reader can compare with Corollary 5.”
The weak Harnack inequality for the Boltzmann equation without cut-off (2016, methodology): “In [40], a generalized Lebesgue differentiation theorem was derived for parabolic cylinders.”
Harnack inequality for kinetic Fokker-Planck equations with rough coefficients and application to the Landau equation (2016, methodology): “In [44], a measure estimate is also applied iteratively to prove a Harnack inequality for fully nonlinear parabolic equations in non-divergence form.”