A gradient estimate for solutions of the heat equation

Charles S. Kahane

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Displaying similar documents to “A gradient estimate for solutions of the heat equation”

A gradient estimate for solutions of the heat equation. II

Charles S. Kahane (2001)

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The author obtains an estimate for the spatial gradient of solutions of the heat equation, subject to a homogeneous Neumann boundary condition, in terms of the gradient of the initial data. The proof is accomplished via the maximum principle; the main assumption is that the sufficiently smooth boundary be convex.

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