The Cauchy-Dirichlet problem for a general class of parabolic equations
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cauchy-dirichletclassequationsparabolicproblemregularityassociatedboundary
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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.
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