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20132026
most citedSelf-improving property of degenerate parabolic equations of porous medium-type

27 citations · 130 across the 21 of their papers we have counts for

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math.AP2013★ 20 cited

Boundary regularity for degenerate and singular parabolic equations

Anders Björn, Jana Björn, Ugo Gianazza +1

We characterise regular boundary points of the parabolic -Laplacian in terms of a family of barriers, both when and . Due to the fact that , it turns out t…

math.AP2013★ 2 cited

Two Remarks on the Local Behavior of Solutions to Logarithmically Singular Diffusion Equations and its Porous-Medium Type Approximations

Emmanuele DiBenedetto, Ugo Gianazza, Naian Liao

For the logarithmically singular parabolic equation \[ u_t-Δ\ln u=0\qquad\text{weakly in}\ \ E\times(0,T], \] we establish a Harnack type estimate in the topology, and…