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Decay results for the heat equation under radiation boundary conditions - MaRDI portal

Decay results for the heat equation under radiation boundary conditions (Q2770415)

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scientific article; zbMATH DE number 1703252
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English
Decay results for the heat equation under radiation boundary conditions
scientific article; zbMATH DE number 1703252

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    Decay results for the heat equation under radiation boundary conditions (English)
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    18 January 2004
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    exponential decay
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    one or two dimensions
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    boundary conditions of the Robin type
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    The authors prove the exponential decay of solutions and their first derivatives to the linear heat equation considered in a bounded domain in one or two dimensions. This equation is supplemented with the initial datum and the boundary conditions of the Robin type. The reasoning is based on suitable maximum principles.
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