4 papers · 1 filter
Continuity of the temperature in a multi-phase transition problem
Ugo Gianazza, Naian Liao
Locally bounded, local weak solutions to a doubly nonlinear parabolic equation, which models the multi-phase transition of a material, is shown to be locally continuous. Moreover,…
A Boundary Estimate for Singular Sub-Critical Parabolic 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 singular parabolic equations of -laplacian type, with $…
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…
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…