Instantaneous support shrinking phenomenon in the case of fast diffusion for a doubly nonlinear parabolic equation with absorption (Q1027053)
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scientific article; zbMATH DE number 5572851
| Language | Label | Description | Also known as |
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| English | Instantaneous support shrinking phenomenon in the case of fast diffusion for a doubly nonlinear parabolic equation with absorption |
scientific article; zbMATH DE number 5572851 |
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Instantaneous support shrinking phenomenon in the case of fast diffusion for a doubly nonlinear parabolic equation with absorption (English)
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30 June 2009
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In this paper the author studies the instantaneous support shrinking phenomenon for a doubly nonlinear parabolic equation with fast diffusion and strong absorption. In terms of the behavior of locally integrable initial data, he formulates necessary and sufficient conditions for the realization of instantaneous shrinking by applying the methods of local integral estimates.
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parabolic type
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shrinking phenomenon
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fast diffusion
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strong absorption
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quenching
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locally integrable initial data
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