Differential Equations, Mathematical Physics, and Applications
Selim Grigorievich Krein Centennial
Published on 30. August 2019
Book
Paperback/Softback
310 pages
978-1-4704-3783-1 (ISBN)
Description
This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733.
Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union.
The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.
Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union.
The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
565 gr
ISBN-13
978-1-4704-3783-1 (9781470437831)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Peter Kuchment, Texas A&M University, College Station, TX.
Evgeny Semenov, Voronzeh State University, Voronezh, Russia.
Evgeny Semenov, Voronzeh State University, Voronezh, Russia.
Content
P. Kuchment and E. Semenov, Introduction
S. Krein, Voronezh Winter Mathematical School
S. Krein, Recollections of Mark Krein
P. Kuchment and V. Lin, Selim Krein and Voronezh Winter Mathematical Schools
M. Grabovskaya and V. Kononenko, A few words about our beloved teacher in mathematics and life
Y. Belopolskaya, Probabilistic interpretations of quasilinear parabolic systems
S. Belyi and E. Tsekanovskii, On sectorial L-systems with Schrodinger operator
A. Cialdea and V. Maz'ya, The $L^p$-dissipativity of certain differential and integral operators
G. Derfel, Y. Feng, and S. Molchanov, Probabilistic approach to a cell growth model
G. Eskin, New examples of Hawking radiation from acoustic black holes
L. Friedlander, On multiplicative properties of determinants
V. Gol'dshtein, V. Pchelintsev, and A. Ukhlov, Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains
Y. Ilyashenko, First steps of the global bifurcation theory in the plane
V. Ivrii, Spectral asymptotics for fractional Laplacians
A. Katsevich, M. Bertola, and A. Tovbis, Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform
M. Kha and V. Lin, Polynomial-like elements in vector spaces with group actions
N. D. Kopachevsky, V. I. Voytitsky, and Z. Z. Sitshayeva, On two hydromechanical problems inspired by works of S. Krein
G. A. Kurina, Adjoint discrete systems with properly stated leading terms
E. Lakshtanov and B. Vainberg, Solution of the initial value problem for the focusing Davey-Stewartson II system
V. P. Maslov, Vortex quantization in classical mechanics
A. Pankov, Elliptic operators with nonstandard growth condition: Some results and open problems
V. Rabinovich, Essential spectrum of Schrodinger operators with $\delta$ and $\delta^\prime$-interactions on systems of unbounded smooth hypersurfaces in $\mathbb{R}^n$.
S. Krein, Voronezh Winter Mathematical School
S. Krein, Recollections of Mark Krein
P. Kuchment and V. Lin, Selim Krein and Voronezh Winter Mathematical Schools
M. Grabovskaya and V. Kononenko, A few words about our beloved teacher in mathematics and life
Y. Belopolskaya, Probabilistic interpretations of quasilinear parabolic systems
S. Belyi and E. Tsekanovskii, On sectorial L-systems with Schrodinger operator
A. Cialdea and V. Maz'ya, The $L^p$-dissipativity of certain differential and integral operators
G. Derfel, Y. Feng, and S. Molchanov, Probabilistic approach to a cell growth model
G. Eskin, New examples of Hawking radiation from acoustic black holes
L. Friedlander, On multiplicative properties of determinants
V. Gol'dshtein, V. Pchelintsev, and A. Ukhlov, Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains
Y. Ilyashenko, First steps of the global bifurcation theory in the plane
V. Ivrii, Spectral asymptotics for fractional Laplacians
A. Katsevich, M. Bertola, and A. Tovbis, Spectral analysis and decomposition of normal operators related with the multi-interval finite Hilbert transform
M. Kha and V. Lin, Polynomial-like elements in vector spaces with group actions
N. D. Kopachevsky, V. I. Voytitsky, and Z. Z. Sitshayeva, On two hydromechanical problems inspired by works of S. Krein
G. A. Kurina, Adjoint discrete systems with properly stated leading terms
E. Lakshtanov and B. Vainberg, Solution of the initial value problem for the focusing Davey-Stewartson II system
V. P. Maslov, Vortex quantization in classical mechanics
A. Pankov, Elliptic operators with nonstandard growth condition: Some results and open problems
V. Rabinovich, Essential spectrum of Schrodinger operators with $\delta$ and $\delta^\prime$-interactions on systems of unbounded smooth hypersurfaces in $\mathbb{R}^n$.