Weidemaier, P.P.Weidemaier2022-03-032022-03-032002https://publica.fraunhofer.de/handle/publica/20301810.1090/S1079-6762-02-00104-X2-s2.0-85009761210We determine the exact regularity of the trace of a function u is an element of L-q (0, T; W-p(2)(Omega)) boolean AND W-q(1) (0, T; L-p (Omega)) and of the trace of its spatial gradient on partial derivativeOmega x (0, T) in the regime p less than or equal to q. While for p = q both the spatial and temporal regularity of the traces can be completely characterized by fractional order Sobolev-Slobodetskii spaces, for p not equal q the Lizorkin-Triebel spaces turn out to be necessary for characterizing the sharp temporal regularity.en620journal article