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Tarkhanov, Nikolai N.
We describe a new algebra of boundary value problems which contains Lopatinskii elliptic as well as Toeplitz type conditions. These latter are necessary, if an analogue of the Atiyah-Bott obstruction does not vanish. Every elliptic operator is proved to admit up to a stabilisation elliptic conditions of such a kind. Corresponding boundary value problems are then Fredholm in adequate scales of spaces. The crucial novelty consists of the new type of weighted Sobolev spaces which fit well to the nature of pseudodifferential operators.en
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Сибирский федеральный университет. Siberian Federal Universityen
Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physicsen
2008 1 (2)en
pseudodifferential operatorsen
boundary values problemsen
Toeplitz operatorsen
Boundary Value Problems with Non-Local Conditionsen
Journal Article
Published Journal Article
Universit at Potsdam,Institut fur Mathematik, Am Neuen Palais 10,14469 Potsdam,Germany, e-mail:

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