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Maximal regularity and caloric trace estimates in mixed Lebesgue norms for the heat equation

Chen, Hui et al.
arXiv (All) · Papers
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analysis-of-pdes
We study the heat equation in the half-space with nonhomogeneous Dirichlet boundary data. For the caloric extension $v$ of the boundary data $g$, we prove maximal regularity estimates in mixed Lebesgue norms $L^p_tL^q_x$ for any order derivative of $v$ in terms of mixed Besov and Lizorkin--Triebel t
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