28 citations · 59 across the 21 of their papers we have counts for
22 papers
-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…
Partial spectral flow and the Aharonov-Bohm effect in graphene
Mikhail I. Katsnelson, Vladimir Nazaikinskii
We study the Aharonov-Bohm effect in an openended tube made of a graphene sheet whose dimensions are much larger than the interatomic distance in graphene. An external magnetic fie…
Semi-classical Green functions
Anatoly Anikin, Sergey Dobrokhotov, Vladimir Nazaikinskii +1
Let be a semi-classical Hamiltonian on , and a non critical energy surface. Consider a semi-classica…
Asymptotics of Green function for the linear waves equations in a domain with a non-uniform bottom
Anatoly Anikin, Serguei Dobrokhotov, Vladimir Nazaikinskii +1
We consider the linear problem for water-waves created by sources on the bottom and the free surface in a 3-D basin having slowly varying profile . The fluid verifies Eule…
The Complex Lagrangian Germ and the Canonical Operator
Vladimir Dubnov, Viktor Maslov, Vladimir Nazaikinskii
We give a manifestly invariant definition of the Lagrangian complex germ with the minimal degree of accuracy required to define the canonical operator. The equivalence with the tra…
New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics
S. Yu. Dobrokhotov, G. Makrakis, V. E. Nazaikinskii +1
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian m…