Электронная библиотека (репозиторий) Томского государственного университета
Pchelintsev, Valeriy A.

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Add   Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator
Authors: Pchelintsev, Valeriy A.
Source: Journal of mathematical sciences. 2022. Vol. 261, № 3. P. 444-454
Type: статьи в журналах
Date: 2022
Add   On conformal spectral gap estimates of the Dirichlet-Laplacian
Authors: Goldshtein, Vladimir | Pchelintsev, Valeriy A. | Ukhlov, Alexander
Source: St. Petersburg Mathematical Journal. 2020. Vol. 31, № 2. P. 325-335
Type: статьи в журналах
Date: 2020
Description: We study spectral stability estimates of the Dirichlet eigenvalues of the Laplacian in nonconvex domains . With the help of these estimates, we obtain asymptotically sharp inequalities of ratios of ei ... More
Add   Sobolev extension operators and Neumann eigenvalues
Authors: Goldshtein, Vladimir | Pchelintsev, Valeriy A. | Ukhlov, Alexander
Source: Journal of spectral theory. 2020. Vol. 10. P. 337-353
Type: статьи в журналах
Date: 2020
Description: In this paper we apply estimates of the norms of Sobolev extension operators to the spectral estimates of of the first nontrivial Neumann eigenvalue of the Laplace operator in non-convex extension dom ... More
Add   Improved robust model selection methods for a Lévy nonparametric regression in continuous time
Authors: Pchelintsev, Evgeny A. | Pchelintsev, Valeriy A. | Pergamenshchikov, Serguei M.
Source: Journal of nonparametric statistics. 2019. Vol. 31, № 3. P. 612-628
Type: статьи в журналах
Date: 2019
Description: In this paper, we develop the James–Stein improved method for the estimation problem of a nonparametric periodic function observed with Lévy noises in continuous time. An adaptive model selection proc ... More
Add   Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains
Authors: Goldshtein, Vladimir | Pchelintsev, Valeriy A. | Ukhlov, Alexander
Source: Differential equations, mathematical physics, and applications: Selim Grigorievich Krein centennial. Providence, 2019. P. 129-144
Type: статьи в сборниках
Date: 2019
Description: In this paper we study spectral properties of the Neumann-Laplace operator in planar quasiconformal regular domains Ω⊂R2. This study is based on the quasiconformal theory of composition operators on S ... More
Add   Non asymptotic sharp oracle inequalities for the improved model selection procedures for the adaptive nonparametric signal estimation problem
Authors: Pchelintsev, Evgeny A. | Pchelintsev, Valeriy A. | Pergamenshchikov, Serguei M.
Source: Communications - scientific letters of the University of Zilina. 2018. Vol. 20, № 1. P. 73-77
Type: статьи в журналах
Date: 2018
Description: In this paper, we consider the robust adaptive non parametric estimation problem for the periodic function observed with the Levy noises in continuous time. An adaptive model selection procedure, base ... More
Add   Spectral estimates of the p-Laplace Neumann operator and Brennan's conjecture
Authors: Goldshtein, Vladimir | Pchelintsev, Valeriy A. | Ukhlov, Alexander
Source: Bollettino dell'Unione Matematica Italiana. 2018. Vol. 11, № 2. P. 245-264
Type: статьи в журналах
Date: 2018
Description: In this paper we obtain lower estimates for the first non-trivial eigenvalue of the p-Laplace Neumann operator in bounded simply connected planar domains Ω⊂R2 . This study is based on a quasiconformal ... More
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