27 citations · 130 across the 21 of their papers we have counts for
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math.AP2018★ 16 cited
Self-improving property of the fast diffusion equation
Ugo Gianazza, Sebastian Schwarzacher
We show that the gradient of the -power of a solution to a singular parabolic equation of porous medium-type (also known as fast diffusion equation), satisfies a reverse Hölder…
math.AP2018★ 7 cited
A Boundary Estimate for Degenerate Parabolic Diffusion Equations
Ugo Gianazza, Naian Liao
We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to degenerate parabolic equations of -laplacian type. The…
math.AP2018★ 8 cited
Boundary regularity for the porous medium equation
Anders Björn, Jana Björn, Ugo Gianazza +1
We study the boundary regularity of solutions to the porous medium equation in the degenerate range . In particular, we show that in cylinders the Dirichlet probl…