28 citations · 59 across the 21 of their papers we have counts for
6 papers · 1 filter
-algebras of transmission problems and elliptic boundary value problems with shift operators
Alexandre Baldare, Vladimir E. Nazaikinskii, Anton Yu. Savin +1
We study the Fredholm solvability for a new class of nonlocal boundary value problems associated with group actions on smooth manifolds. Namely, we consider the case in which the g…
Atiyah-Bott index on stratified manifolds
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We define Atiyah-Bott index on stratified manifolds and express it in topological terms. By way of example, we compute this index for geometric operators on manifolds with edges.
On elliptic differential operators with shifts: II. The cohomological index formula
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
This paper is a continuation of arXiv:0706.3511, where we obtained a local index formula for matrix elliptic operators with shifts. Here we establish a cohomological index formula…
On elliptic differential operators with shifts
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
We give an index formula for elliptic differential operators whose coefficients include shifts forming an infinite group.
Elliptic Theory on Manifolds with Corners: I. Dual Manifolds and Pseudodifferential Operators
V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin
In this first part of the paper, we define a natural dual object for manifolds with corners and show how pseudodifferential calculus on such manifolds can be constructed in terms o…
On the Homotopy Classification of Elliptic Operators on Manifolds with Edges
V. Nazaikinskii, A. Savin, B. -W. Schulze +1
We obtain a classification of elliptic operators modulo stable homotopy on manifolds with edges (this is in some sense the simplest class of manifolds with nonisolated singularitie…