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Density of Smooth Functions in Anisotropic Weighted Sobolev Spaces with Weights that are Locally Bounded and Locally Bounded Away from Zero

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Abstract

The density of smooth functions in weighted Sobolev spaces that are anisotropic with respect to the order of the derivatives and the weight functions is established.

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Authors and Affiliations

  1. Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 119991, Russia

    A. Yu. Golovko

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Oblast, 141701, Russia

    A. Yu. Golovko

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  1. A. Yu. Golovko
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Correspondence to A. Yu. Golovko.

Additional information

Translated from Matematicheskie Zametki, 2021, Vol. 109, pp. 681-690 https://doi.org/10.4213/mzm12988.

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Golovko, A.Y. Density of Smooth Functions in Anisotropic Weighted Sobolev Spaces with Weights that are Locally Bounded and Locally Bounded Away from Zero. Math Notes 109, 694–701 (2021). https://doi.org/10.1134/S0001434621050035

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  • DOI: https://doi.org/10.1134/S0001434621050035

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