Промежуточная оценка степени достижения плановых показателей федеральной целевой программы «Исследования и разработки по приоритетным направлениям развития научно-технологического комплекса России на 2014–2020 годы»

The article summarizes the results of the interim assessment of the degree of achievement of the planned indicators of the Federal target program «Research and development in priority areas of development of the scientific and technological complex of Russia for 2014–2020».В статье приведены обобщенные результаты промежуточной оценки степени достижения плановых показателей федеральной целевой программы «Исследования и разработки по приоритетным направлениям развития научно-технологического комплекса России на 2014–2020 годы»

ДИНАМИКА И СТРУКТУРА ИСПОЛНИТЕЛЕЙ ПРОЕКТОВ ФЕДЕРАЛЬНОЙ ЦЕЛЕВОЙ ПРОГРАММЫ «ИССЛЕДОВАНИЯ И РАЗРАБОТКИ ПО ПРИОРИТЕТНЫМ НАПРАВЛЕНИЯМ РАЗВИТИЯ НАУЧНО-ТЕХНОЛОГИЧЕСКОГО КОМПЛЕКСА РОССИИ НА 2014–2020 ГОДЫ»

The article considers socio-demographic issues of research and development of the «Federal Target Program for Research and Development in Priority Areas of Development of the Russian Scientific and Technological Complex for 2014–2020». Analysis based on project's documents in the Program from 2014 to 2016. We studied the dynamics in both quantitative and qualitative characteristics of project performers – applied research and experimental development, and defined trends of project R&D personnel changes, including sociodemographic characteristics: age, size and composition of performers, the proportion of researchers with academic degree, and the proportion of women-researchers. In the article it is shown that specialists under 40 years of age are the largest part of project performers. The renewal of project personnel in time of projects is 65 percent. In the article it is also shown a strong correlation between project academic personnel and academic personnel of Russia as a whole. We devised proposals for tracking quantitative and qualitative parameters of project performers and for securing growth the skill level of young specialists in projects.В статье рассматриваются социально-демографические аспекты исследований и разработок одной из крупнейших федеральных целевых программ России «Исследования и разработки по приоритетным направлениям развития научно-технологического комплекса России на 2014–2020 годы». Анализ основан на документах проектов Программы 2014–2016 гг. Исследована динамика количественных и качественных характеристик исполнителей проектов – прикладных научных исследований и экспериментальных разработок, определены тенденции развития состава исполнителей проектов (возрастных, квалификационных, гендерных и иных параметров). В статье показано, что специалисты молодого возраста до 40 лет составляют наиболее многочисленную часть исполнителей. Выявлено обновление состава исполнителей в ходе выполнения исследований и разработок в среднем на 65%. Показана тесная связь динамики кадрового обеспечения сферы исследований и разработок с развитием кадрового состава российской науки в целом. Разработаны предложения по мониторингу количественных и качественных характеристик исполнителей проектов и обеспечению роста профессионального уровня молодых специалистов

Spectra of self-adjoint extensions and applications to solvable Schroedinger operators

We give a self-contained presentation of the theory of self-adjoint extensions using the technique of boundary triples. A description of the spectra of self-adjoint extensions in terms of the corresponding Krein maps (Weyl functions) is given. Applications include quantum graphs, point interactions, hybrid spaces, singular perturbations.Comment: 81 pages, new references added, subsection 1.3 extended, typos correcte

Sturm-Liouville operators with measure-valued coefficients

We give a comprehensive treatment of Sturm-Liouville operators with measure-valued coefficients including, a full discussion of self-adjoint extensions and boundary conditions, resolvents, and Weyl-Titchmarsh theory. We avoid previous technical restrictions and, at the same time, extend all results to a larger class of operators. Our operators include classical Sturm-Liouville operators, Lax operators arising in the treatment of the Camassa-Holm equation, Jacobi operators, and Sturm-Liouville operators on time scales as special cases.Comment: 58 page

A Survey on the Krein-von Neumann Extension, the corresponding Abstract Buckling Problem, and Weyl-Type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains

In the first (and abstract) part of this survey we prove the unitary equivalence of the inverse of the Krein--von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, $S\geq \varepsilon I_{\mathcal{H}}$ for some $\varepsilon >0$ in a Hilbert space $\mathcal{H}$ to an abstract buckling problem operator. This establishes the Krein extension as a natural object in elasticity theory (in analogy to the Friedrichs extension, which found natural applications in quantum mechanics, elasticity, etc.). In the second, and principal part of this survey, we study spectral properties for $H_{K,\Omega}$, the Krein--von Neumann extension of the perturbed Laplacian $-\Delta+V$ (in short, the perturbed Krein Laplacian) defined on $C^\infty_0(\Omega)$, where $V$ is measurable, bounded and nonnegative, in a bounded open set $\Omega\subset\mathbb{R}^n$ belonging to a class of nonsmooth domains which contains all convex domains, along with all domains of class $C^{1,r}$, $r>1/2$.Comment: 68 pages. arXiv admin note: extreme text overlap with arXiv:0907.144

Interim assessment of the degree of achievement of the planned indicators of the Federal target program «Research and development in priority areas of development of the scientific and technological complex of Russia for 2014–2020»

The article summarizes the results of the interim assessment of the degree of achievement of the planned indicators of the Federal target program «Research and development in priority areas of development of the scientific and technological complex of Russia for 2014–2020»

Dynamics and structure of project performers of the «Federal target program for research and development in priority areas of development of the Russian scientific and technological complex for 2014–2020»

The article considers socio-demographic issues of research and development of the «Federal Target Program for Research and Development in Priority Areas of Development of the Russian Scientific and Technological Complex for 2014–2020». Analysis based on project's documents in the Program from 2014 to 2016. We studied the dynamics in both quantitative and qualitative characteristics of project performers – applied research and experimental development, and defined trends of project R&D personnel changes, including sociodemographic characteristics: age, size and composition of performers, the proportion of researchers with academic degree, and the proportion of women-researchers. In the article it is shown that specialists under 40 years of age are the largest part of project performers. The renewal of project personnel in time of projects is 65 percent. In the article it is also shown a strong correlation between project academic personnel and academic personnel of Russia as a whole. We devised proposals for tracking quantitative and qualitative parameters of project performers and for securing growth the skill level of young specialists in projects