We consider initial-boundary value problems for a parabolic system in a Lipschitz cylinder. When the space dimension is three, we obtain estimates for the solutions when the lateral data taken from the best possible range of -spaces.
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Russell M. Brown, Zhongwei Shen, Boundary value problems in Lipschitz cylinders for three-dimensional parabolic systems. Rev. Mat. Iberoam. 8 (1992), no. 3, pp. 271–303DOI 10.4171/RMI/125