Abstract
We study improved scales of functional Hilbert spaces over ℝn and smooth manifolds with boundary. The isotropic Hörmander-Volevich-Paneyakh spaces are elements of these scales. The theory of elliptic boundary-value problems in these spaces is developed.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 3, pp. 352–370, March, 2006.
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Mikhailets, V.A., Murach, A.A. Improved scales of spaces and elliptic boundary-value problems. II. Ukr Math J 58, 398–417 (2006). https://doi.org/10.1007/s11253-006-0074-9
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DOI: https://doi.org/10.1007/s11253-006-0074-9