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arxiv: 1509.01359 · v1 · pith:GEKGG4CEnew · submitted 2015-09-04 · 🧮 math.AP

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

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keywords 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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