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Regularity in Sobolev and Besov Spaces for Parabolic Problems on Domains of Polyhedral Type

Regularity in Sobolev and Besov Spaces for Parabolic Problems on Domains of Polyhedral Type

Abstract This paper is concerned with the regularity of solutions to linear and nonlinear evolution equations extending our findings in Dahlke and Schneider (Anal Appl 17(2):235–291, 2019, Thms. 4.5, 4.9, 4.12, 4.14) to domains of polyhedral type. In particular, we study the smoothness in the specific scale $$\ B^r_{\tau ,\tau …