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## A new Weighted Friedrichs-type Inequality for a Perforated Domain with a Sharp Constant

Eurasian Math. Journal. 2011. Vol. 2. No. 1. P. 81-103.

Koroleva Y., Chechkin G. A., Persson L. -., Wall P.

We derive a new three-dimensional Hardy-type inequality for a cube for the class of functions from the Sobolev space H1 having zero trace on small holes distributed periodically along the boundary. The proof is based on a careful analysis of the asymptotic expansion of the first eigenvalue of a related spectral problem and the best constant of the corresponding Friedrichs-type inequality.

Koroleva Y., Differential Equations & Applications 2016 Vol. 4 No. 8 P. 437-458

The paper deals with asymptotic expansion for p-Laplace boundary-value problem in a domain periodically perforated along the boundary. It is assumed that the later boundary of the domain is subject to the Neumann boundary condition while the Dirichlet condition is set on the boundary of small sets. The asymptotic expansion for the first eigenelement is ...

Added: October 6, 2021

Silaev M. A., V. A. Silaeva, Journal of Physics: Condensed Matter 2013 Vol. 25 No. 22 P. 1-10

We investigate the multiquantum vortex states in a type-II superconductor in both 'clean' and 'dirty' regimes defined by impurity scattering rate. Within a quasiclassical approach we calculate self-consistently the order parameter distributions and electronic local density of states (LDOS) profiles. In the clean case we find the low temperature vortex core anomaly predicted analytically by ...

Added: November 19, 2013

Minabutdinov A., / Cornell University. Series arXiv "math". 2015. No. 1508.07421.

The paper extends the classical result on the convergence of the Krawtchouk polynomials to the Hermite polynomials. We provide the uniform asymptotic expansion in terms of the Hermite polynomials. We explicitly obtain expressions for a few initial terms of this expansion. The research is motivated by the study of ergodic sums of the Pascal adic ...

Added: September 12, 2015

Minabutdinov A., Journal of Mathematical Sciences 2016 Vol. 215 No. 6 P. 738-747

The paper extends a classical result on the convergence of the Krawtchouk polynomials to the Hermite polynomials. We provide a uniform asymptotic expansion in terms of Hermite polynomials and obtain explicit expressions for a few first terms of this expansion. The research is motivated by the study of ergodic sums of the Pascal adic transformation. ...

Added: July 8, 2016

Parusnikova A., Vasilyev A. V., Journal of Dynamical and Control Systems 2019 Vol. 25 No. 4 P. 681-690

In this paper, we study the third Painlevé equation with parameters γ = 0, αδ ≠ 0. The Puiseux series formally satisfying this equation (after a certain change of variables) asymptotically approximate of Gevrey order one solutions to this equation in sectors with vertices at infinity. We present a family of values of the parameters δ = −β^2/2 ≠ 0 such that ...

Added: June 4, 2019

Dmitriev M.G., Petrov A.P., Pavlov A. A., Abstract and Applied Analysis 2013 Vol. 172654 P. 1-8

The theory of contrasting structures in singularly perturbed boundary problems for nonlinear parabolic partial differential equations is applied to the research of formation of steady state distributions of power within the nonlinear of "Power-Society" model. The interpretation of the solutions to the equation are presented in terms of applied model. The possibility theorem for the ...

Added: November 15, 2013

Anoshin V. I., Beketova A., Parusnikova A. et al., Computational Mathematics and Mathematical Physics 2023 Vol. 63 No. 1 P. 86-95

The second member of the fourth Painlevé hierarchy is considered. Convergence of certain power asymptotic expansions in a neighborhood of zero is proved. New families of power asymptotic expansions are found. Computations are carried out using a computer algebra system. Reference to a code that can be used for computing the Gevrey order of the ...

Added: March 30, 2023

Borisov D. I., Cardone G., Chechkin G. A. et al., Calculus of Variations and Partial Differential Equations 2021 Vol. 60 Article 48

We consider a boundary value problem for a homogeneous elliptic equation with an inhomogeneous Steklov boundary condition. The problem involves a singular perturbation, which is the Dirichlet condition imposed on a small piece of the boundary. We rewrite such problem to a resolvent equation for a self-adjoint operator in a fractional Sobolev space on the ...

Added: September 20, 2021

Minabutdinov A., Записки научных семинаров ПОМИ РАН 2015 Т. Том 436 С. 174-189

The paper extends the classical result on the convergence of the Krawtchouk polynomials to the Hermite polynomials. We provide the uniform asymptotic expansion in terms of the Hermite polynomials. We explicitly obtain expressions for a few initial terms of this expan- sion. The research is motivated by the study of ergodic sums of the Pascal ...

Added: October 14, 2015

Springer, 2020

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.
First organized in 2011, the ICDDEA conferences bring together mathematicians from various countries in order to promote cooperation in the field, with a particular focus on applications. ...

Added: November 1, 2020

Yakushkina T., Ериклинцев И. В., Известия высших учебных заведений. Поволжский регион. Физико-математические науки 2016 № 1(37) С. 23-36

Background Replicator systems often arise when evolution is concerned. Mathematical models of population dynamics, game theory, economics and biological and molecular evolution lead to the systems of partial differential equations. Due to the absence of analytical solutions for the vast majority of such problems, approximate solutions obtained via numerical simulation are required. Hence, construction of ...

Added: May 7, 2016

Yanovich Y., Proceedings of Machine Learning Research 2017 Vol. 60 P. 18-38

In many applications, the real high-dimensional data occupy only a very small part in the high dimensional ‘observation space’ whose intrinsic dimension is small. The most popular model of such data is Manifold model which assumes that the data lie on or near an unknown manifold (Data Manifold, DM) of lower dimensionality embedded in an ...

Added: June 15, 2017

Yanovich Yury Aleksandrovich, Journal of Mathematics and Statistics 2016 Vol. 12 No. 3 P. 157-175

In many applications, the real high-dimensional data occupy only a very small part in the high dimensional ‘observation space’ whose intrinsic dimension is small. The most popular model of such data is Manifold model which assumes that the data lie on or near an unknown manifold Data Manifold, (DM) of lower dimensionality embedded in an ...

Added: November 24, 2016

Stukopin V., Linear Algebra and its Applications 2019 Vol. 580 No. 1 P. 292-335

This paper is devoted to the asymptotic behavior of all eigenvalues of the increasing finite principal sections of an infinite symmetric (in general non-Hermitian) Toeplitz matrix. The symbol of the infinite matrix is supposed to be moderately smooth and to trace out a simple loop in the complex plane. The main result describes the asymptotic ...

Added: March 1, 2020

Ulyanov V. V., Goetze F., A. Naumov, Journal of Theoretical Probability 2017 Vol. 30 No. 3 P. 876-897

In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed. ...

Added: March 17, 2016

Koroleva Y., Stromqvist M., Eurasian Mathematical Journal (Казахстан) 2013 Vol. 4 No. 4 P. 88-100

We consider the minimization problems of obstacle type
min{∫Ω|Du|2dx:u≥ψε on P, u=0 on ∂Ω},
as ε→0. Here Ω is a bounded domain in Rn, ψε is a periodic function of period ε, constructed from a fixed function ψ, and P⊂⊂Ω is a subset of the hyper-plane {x∈Rn:x⋅η=0}. We assume that n≥3 and that the normal η satisfies a generic condition that guarantees certain ergodic properties of the quantity
#{k∈Zn:P∩{x:|x−εk|<εn/(n−1)}}.
Under these hypotheses we compute explicitly the limit functional of the obstacle problem above, which ...

Added: October 8, 2021

Sirotin V., Arkhipova M., Dubrova T. A. et al., Bielsko-Biala : University of Bielsko-Biala Press, 2016

The main attributes of modern enterprises should be the flexibility and the ability of forecasting the future. Constant adaptation to the changing environment and the rapidity of undertaking certain actions which are conditioned by specific situations determine the rules for the future position of market competition. Effective and efficient adjustment of the company in line ...

Added: November 2, 2016

Pahomov F., Известия РАН. Серия математическая 2016 Т. 80 № 6 С. 173-216

Полимодальная логика доказуемости
GLP была введена Г. К. Джапаридзе в 1986 г. Она является логикой доказуемости для ряда цепочек предикатов доказуемости возрастающей силы. Всякой полимодальной логике соответствует многообразие полимодальных алгебр. Л. Д. Беклемишевым и А. Виссером был поставлен вопрос о разрешимости элементарной теории свободной GLP-алгебры, порожденной константами 0, 1 [1]. В этой статье для любого натурального n решается аналогичный вопрос для логик GLPn, являющихся ...

Added: December 4, 2017

Furmanov K. K., Nikol'skii I. M., Computational Mathematics and Modeling 2016 Vol. 27 No. 2 P. 247-253

Added: December 22, 2016

Buchstaber V., Limonchenko I., / Cornell University. Series math "arxiv.org". 2018. No. 1808.08851.

We introduce the notions of algebraic and geometric direct families of polytopes and develop a theory of such families. The theory is then applied to the problem of existence of nontrivial higher Massey products in cohomology of moment-angle-complexes. ...

Added: September 29, 2019

Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18

Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...

Added: November 16, 2020

Shiryaev A., Zhitlukhin M., Ziemba W., / SSRN. Series Social Science Research Network "Social Science Research Network". 2013.

We study the land and stock markets in Japan circa 1990. While the Nikkei stock average in the late 1980s and its -48% crash in 1990 is generally recognized as a financial market bubble, a bigger bubble and crash was in the golf course membership index market. The crash in the Nikkei which started on ...

Added: March 9, 2014

Maslov V., Теоретическая и математическая физика 2019 Т. 201 № 1 С. 65-83

We study the process of a nucleon separating from an atomic nucleus from the mathematical standpoint
using experimental values of the binding energy for the nucleus of the given substance. A nucleon becomes
a boson at the instant of separating from a fermionic nucleus. We study the further transformations of
boson and fermion states of separation in a ...

Added: November 1, 2019

Litvin Y. V., Абрамов И. В., Технологии техносферной безопасности 2016 № 66

Advanced approach to the assessment of a random time of arrival fire fighting calculation on the object of protection, the time of their employment and the free combustion. There is some quantitative assessments with the review of analytical methods and simulation ...

Added: August 27, 2016