63 citations · 146 across the 11 of their papers we have counts for
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Fredholm property and essential spectrum of Dirac operators with regular and singular potentials
Vladimir Rabinovich
We consider the Dirac operator with variable regular magnetic and electrostatic potentials , and with singular…
Boundary problems for three-dimensional Dirac operators and generalized MIT bag models for unbounded domains
Vladimir Rabinovich
We consider operators of boundary value problems for 3D- Dirac operators in unbounded domains with the uniformly regular boundary. We give effective conditions of self-adjointness…
Essential spectra and exponential estimates of eigenfunctions of lattice operators of quantum mechanics
Vladimir Rabinovich, Steffen Roch
This paper is devoted to estimates of the exponential decay of eigenfunctions of difference operators on the lattice Z^n which are discrete analogs of the Schrödinger, Dirac and sq…
Agmon's type estimates of exponential behavior of solutions of systems of elliptic partial differential equations.Applications to Schrödinger, Moisil-Theodorescu and Dirac operators
V. Rabinovich, S. Roch
The aim of this paper is to derive Agmon's type exponential estimates for solutions of elliptic systems of partial differential equations on $\sR^n$. We show that these estimates a…
Essential spectra of difference operators on $\sZ^n$-periodic graphs
V. S. Rabinovich, S. Roch
Let $(\cX, ρ)$ be a discrete metric space. We suppose that the group $\sZ^n$ acts freely on and that the number of orbits of with respect to this action is finite. Then we…
The essential spectrum of Schrödinger operators on lattices
Vladimir S. Rabinovich, Steffen Roch
The paper is devoted to the study of the essential spectrum of discrete Schrödinger operators on the lattice by means of the limit operators method. This method ha…
Quaternionic fundamental solutions for the numerical analysis of electromagnetic scattering problems
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Vladimir S. Rabinovich
We propose a new class of fundamental solutions for the numerical analysis of boundary value problems for the Maxwell equations. We prove completeness of systems of such fundamenta…