Sobolev Problems with Spherical Mean Conditions and Traces of Quantized Canonical Transformations

We consider Sobolev problems (problems for an elliptic operator on a closed manifold with conditions on a closed submanifold) for the case in which these conditions are of nonlocal nature and include weighted spherical means of the unknown function over spheres of a given radius. For such problems, we establish a criterion for the Fredholm property and, in some special cases, obtain index formulas. © 2019, Pleiades Publishing, Ltd.

Authors
Nazaikinskii V.E.1 , Savin A.Y. 2, 3 , Sipailo P.A. 2
Journal
Russian Journal of Mathematical Physics
Number of issue
4
Language
English
Pages
483-498
Status
Published
Link
External link
DOI
10.1134/S1061920819040071
Volume
26
Year
2019
Organizations
  • 1 Ishlinsky Institute for Problems in Mechanics RAS, Moscow, 119526, Russian Federation
  • 2 Peoples’ Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
  • 3 Leibniz University of Hannover, Hannover, 30167, Germany
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54985/
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