4 citations · 11 across the 8 of their papers we have counts for
8 papers
Truncations for fractional Laplacians
Egor Ignatev, Alexander I. Nazarov, Pavel Nichitenko +1
Let be a bounded Lipschitz domain. We prove and widely generalize a conjecture of A.\,I.~Nazarov \cite{Naz21}: for the quadratic form $Q^{\…
Functional a posteriori estimates for the fractional Laplacian problem
Alexander Nazarov, Sergey Repin
The paper is concerned with a posteriori estimates for approximations of boundary value problems generated by the spectral fractional Laplace operator. The derivation is based upon…
Dirichlet Fractional Laplacian in multi-tubes
F. L. Bakharev, A. I. Nazarov
We describe the spectrum structure for the restricted Dirichlet fractional Laplacian in multi-tubes, i.e. domains with cylindrical outlets to infinity. Some new effects in comparis…
Spectral analysis for some multifractional Gaussian processes
A. I. Karol, A. I. Nazarov
We study the small ball asymptotics problem in for two generalizations of the fractional Brownian motion with variable Hurst parameter. To this end, we perform careful analys…
Spectral equivalence of Gaussian random functions: operator approach
A. I. Nazarov, Ya. Yu. Nikitin
We introduce a new approach to the spectral equivalence of Gaussian processes and fields, based on the methods of operator theory in Hilbert space. Besides several new results incl…
Oblique derivative problem for non-divergence parabolic equations with discontinuous in time coefficients in a wedge
Vladimir Kozlov, Alexander Nazarov
We consider an oblique derivative problem in a wedge for nondivergence parabolic equations with discontinuous in coefficients. We obtain weighted coercive estimates of solution…
V.A. Steklov and the Problem of Sharp (Exact) Constants in Inequalities of Mathematical Physics
A. I. Nazarov, N. G. Kuznetsov, S. V. Poborchi
The 150th anniversary of the birth of the outstanding Russian mathematician Vladimir Andreevich Steklov falls on January 9, 2014. In this paper (it is a part of survey to be publis…
Exact constants in Poincare type inequalities for functions with zero mean boundary traces
Alexander I. Nazarov, Sergey I. Repin
In the paper, we investigate Poincare type inequalities for the functions having zero mean value on the whole boundary of a Lipschitz domain or on a measurable part of the boundary…