Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain (Q2569633)
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| English | Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain |
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Estimates of weighted Hölder norms of the solutions to a parabolic boundary value problem in an initially degenerate domain (English)
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20 October 2005
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Summary: A-priori estimates in weighted Hölder norms are obtained for the solutions of a one-dimensional boundary value problem for the heat equation in a domain degenerating at time \(t = 0\) and with boundary data involving simultaneously the first order time derivative and the spatial gradient.
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heat equation
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boundary value problems of higher order
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a-priori estimates in weighted Hölder spaces
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