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- W1987607566 abstract "In this paper the author proves existence and uniqueness of the initial-Dirichlet problem for the heat equation in a cylindrical domain D × (0, ∞) where D is a bounded smooth domain in R n with zero lateral values. A unique representation of the strong solution is given in terms of measures μ on D and λ on ∂D. We also show that the strong solution u(x, t) of the heat equation in a cylinder converges a.e. x 0 ∈∂D × {0} as (x, t) converges to points on ∂D × {0} along certain nontangential paths" @default.
- W1987607566 created "2016-06-24" @default.
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- W1987607566 date "1992-02-01" @default.
- W1987607566 modified "2023-09-23" @default.
- W1987607566 title "A Fatou theorem for the solution of the heat equation at the corner points of a cylinder" @default.
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- W1987607566 doi "https://doi.org/10.1090/s0002-9947-1992-1091707-4" @default.
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