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Contemporary Mathematics. Fundamental Directions, 2016, Volume 59, Pages 173–191
(Mi cmfd292)
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This article is cited in 2 scientific papers (total in 2 papers)
Elliptic $G$-operators on manifolds with isolated singularities
A. Yu. Savinab, B. Yu. Sterninab a Peoples' Friendship University of Russia, Moscow, Russia
b Gottfried Wilhelm Leibniz Universität Hannover, Hannover, Germany
Abstract:
We study elliptic operators on manifolds with singularities such that a discrete group $G$ acts on the manifold. Following the standard elliptic theory approach, we define the Fredholm property of an operator by its principal symbol. For this problem, we prove that the symbol is a pair consisting of the symbol on the principal stratum (the inner symbol) and the symbol at the conical point (the conormal symbol). We establish the Fredholm property of elliptic elements.
Citation:
A. Yu. Savin, B. Yu. Sternin, “Elliptic $G$-operators on manifolds with isolated singularities”, Proceedings of the Seventh International Conference on Differential and Functional-Differential Equations (Moscow, August 22–29, 2014). Part 2, CMFD, 59, PFUR, M., 2016, 173–191
Linking options:
https://www.mathnet.ru/eng/cmfd292 https://www.mathnet.ru/eng/cmfd/v59/p173
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Abstract page: | 335 | Full-text PDF : | 104 | References: | 29 |
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