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Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold

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Abstract

We study linear elliptic pseudodifferential operators in the improved scale of functional Hilbert spaces on a smooth closed manifold. Elements of this scale are isotropic Hörmander-Volevich-Paneyakh spaces. We investigate the local smoothness of a solution of an elliptic equation in the improved scale. We also study elliptic pseudodifferential operators with parameter.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev

    A. A. Murach

  2. Chernigov Technological University, Chernigov

    A. A. Murach

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  1. A. A. Murach
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 6, pp. 798–814, June, 2007.

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Murach, A.A. Elliptic pseudodifferential operators in the improved scale of spaces on a closed manifold. Ukr Math J 59, 874–893 (2007). https://doi.org/10.1007/s11253-007-0056-6

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  • DOI: https://doi.org/10.1007/s11253-007-0056-6

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