Anisotropic diffusions with singular advections and absorptions. I: Existence (Q5950589)
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scientific article; zbMATH DE number 1684751
| Language | Label | Description | Also known as |
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| English | Anisotropic diffusions with singular advections and absorptions. I: Existence |
scientific article; zbMATH DE number 1684751 |
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Anisotropic diffusions with singular advections and absorptions. I: Existence (English)
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2 January 2002
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boundary continuity
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quasilinear degenerate parabolic equation in divergence form
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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. He proves the existence of solutions to the Cauchy problem and to the first initial-boundary value problem in two steps. First he shows how to obtain the weak solutions and then he proves its continuity.NEWLINENEWLINENEWLINEFor part II see [ibid. 817-823 (2001; Zbl 0987.35093)].
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