Parabolic Minkowski convolutions of solutions to parabolic boundary value problems (Q895554)

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scientific article; zbMATH DE number 6516075
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Parabolic Minkowski convolutions of solutions to parabolic boundary value problems
scientific article; zbMATH DE number 6516075

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    Parabolic Minkowski convolutions of solutions to parabolic boundary value problems (English)
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    3 December 2015
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    By means of introducing of a convolution, which is a sort of parabolic version of the classical supremal convolution of convex analysis, the authors compare solutions of different parabolic problems in different domains. As application, the parabolic concavity is studied for solutions to parabolic boundary value problems, analyzing in particular the case of heat equation with an inhomogeneous term and with a nonlinear reaction term.
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    power concavity
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    heat equation
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    dead core
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    Minkowski addition
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