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Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II - MaRDI portal

Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II (Q5932628)

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scientific article; zbMATH DE number 1603289
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Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II
scientific article; zbMATH DE number 1603289

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    Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II (English)
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    10 June 2001
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    The article is a continuation of the authors' study of anisotropic solutions to the multidimensional equation of nonlinear diffusion [see \textit{G.~A.~Rudykh} and \textit{Eh.~I.~Semenov}, Sib. Mat. Zh. 41, No. 5, 1144-1165 (2000)]. The authors prove a series of existence theorems for explicit solutions to the equations under consideration and demonstrate a new class of the so-called nonself-similar solutions in spatial variables.
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    multidimensional equation of nonlinear diffusion
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    anisotropic solution
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    existence of an explicit solution
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