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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. [ABSTRACT FROM AUTHOR]

Abstract: We consider parabolic equations of the type having a Radon measure on the right-hand side and prove fractional integrability and differentiability results of Calderón–Zygmund type for weak solutions. We extend some of the integrability results for elliptic equations achieved by G. Mingione (2007) to the parabolic setting and locally recover the integrability results of L. Boccardo, A. DallʼAglio, T. Gallouët, and L. Orsina (1997) in . [Copyright &y& Elsevier]