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A Note on Boundary Value Problems for the Heat Equation in Lipschitz Cylinders

A Note on Boundary Value Problems for the Heat Equation in Lipschitz Cylinders

We study the initial Dirichlet problem and the initial Neumann problem for the heat equation in Lipschitz cylinders, with boundary data in mixed norm spaces ${L^q}(0,T,{L^p}(\partial \Omega ))$.