A note on boundary value problems for the heat equation in Lipschitz cylinders

Brown, Russell M.; Shen, Zhong Wei

doi:10.1090/S0002-9939-1993-1156466-1

A note on boundary value problems for the heat equation in Lipschitz cylinders
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by Russell M. Brown and Zhong Wei Shen PDF

Proc. Amer. Math. Soc. 119 (1993), 585-594 Request permission

Abstract:

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 ${L^q}(0,T,{L^p}(\partial \Omega ))$.

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