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math.AP2016
Hölder gradient estimates for a class of singular or degenerate parabolic equations
Cyril Imbert, Tianling Jin, Luis Silvestre
We prove interior Hölder estimate for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic equation $$ u_t=|\nabla u|^κ\mbox{div} (|\nabla u|^{p…
math.AP2016
The weak Harnack inequality for the Boltzmann equation without cut-off
Cyril Imbert, Luis Silvestre
In this paper, we obtain the weak Harnack inequality and Hölder estimates for a large class of kinetic integro-differential equations. We prove that the Boltzmann equation without…