Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
Vladimir A. Mikhailets ; Aleksandr A. Murach
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008), p. 213-224 / Harvested from The Polish Digital Mathematics Library
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We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:281151 
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     author = {Vladimir A. Mikhailets and Aleksandr A. Murach},
     title = {Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {56},
     year = {2008},
     pages = {213-224},
     zbl = {1172.35313},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-3-4}
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Vladimir A. Mikhailets; Aleksandr A. Murach. Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 213-224. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-3-4/