The Cauchy–Dirichlet problem for a general class of parabolic equations
Paolo Baroni, Casimir Lindfors · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2016
We prove regularity results such as interior Lipschitz regularity and boundary continuity for the Cauchy–Dirichlet problem associated to a class of parabolic equations inspired by the evolutionary p -Laplacian, but extending it at a wide scale. We employ a regularization technique of viscosity-type that we find interesting in itself.