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Статья
2015

On Sobolev problems associated with actions of lie groups


D. A. LoshchenovaD. A. Loshchenova
Русская математика
https://doi.org/10.3103/S1066369X1509008X
Abstract / Full Text

We consider Sobolev problems with nonlocal boundary conditions associated with an action of a compact Lie group. We find a natural conditions of ellipticity of such problems, obtain the corresponding finiteness theorem, and give the index formula.

Author information
  • Peoples’ Friendship University of Russia, ul. Miklukho-Maklaya 6, Moscow, 117198, RussiaD. A. Loshchenova
References
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  4. Wojciechowski, K. “A Note on the Space of Pseudodifferential Projections with the Same Principal Symbol,” J. Operator Theory 15, No. 2, 207–216 (1986).