Anisotropic diffusions with singular advections and absorptions. II: Uniqueness (Q5950590)
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scientific article; zbMATH DE number 1684752
| Language | Label | Description | Also known as |
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| English | Anisotropic diffusions with singular advections and absorptions. II: Uniqueness |
scientific article; zbMATH DE number 1684752 |
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Anisotropic diffusions with singular advections and absorptions. II: Uniqueness (English)
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2 January 2002
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comparison principle
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The author considers an anisotropic filtration problem with singular advections and strong absorptions, which leads to a quasilinear degenerate parabolic equation in divergence form. The uniqueness and the comparison principle are proved for the bounded and continuous solutions of the Cauchy problem and of the first initial-boundary value problem. The difficulties lie on the anisotropices of diffusion and the singularities of advection.NEWLINENEWLINENEWLINEFor part I see [ibid. 811-816 (2001; Zbl 0987.35092)].
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