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.

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
Mots clés : 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},
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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. http://archive.numdam.org/articles/10.1016/j.anihpc.2016.03.003/

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