Geodesic
The Cauchy–Dirichlet problem for a general class of parabolic equations
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 3, pp. 593-624

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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.

DOI : 10.1016/j.anihpc.2016.03.003
Keywords: Degenerate/singular parabolic equations, Cauchy–Dirichlet problem, Lipschitz regularity, General growth conditions 
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     title = {The {Cauchy{\textendash}Dirichlet} problem for a general class of parabolic equations},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {593--624},
     publisher = {Elsevier},
     volume = {34},
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     year = {2017},
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Baroni, Paolo; Lindfors, Casimir. The Cauchy–Dirichlet problem for a general class of parabolic equations. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 3, pp. 593-624. doi: 10.1016/j.anihpc.2016.03.003

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