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Book DetailsContemporary MathematicsVolume: 734; 2019; 310 ppMSC: Primary 01; 14; 30; 34; 35; 37; 47; 83; 92;
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.ReadershipGraduate students and research mathematicians interested in partial differential equations, fluid dynamics, mathematical physics, biological applications, and the history of mathematics.

Table of Contents

Articles

Peter Kuchment and Evgeny Semenov  Introduction

Selim Krein  Voronezh Winter Mathematical School The presentation at the opening of the XXth School

Selim Krein  Recollections of Mark Krein

Peter Kuchment and Vladimir Lin  Selim Krein and Voronezh Winter Mathematical Schools

M. Grabovskaya and V. Kononenko  A few words about our beloved teacher in mathematics and life

Ya. Belopolskaya  Probabilistic interpretations of quasilinear parabolic systems

S. Belyi and E. Tsekanovskiĭ  On sectorial Lsystems with Shrödinger operator

Alberto Cialdea and Vladimir Maz’ya  The $L^p$dissipativity of certain differential and integral operators

Gregory Derfel, Yaqin Feng and Stanislav Molchanov  Probabilistic approach to a cell growth model

Gregory Eskin  New examples of Hawking radiation from acoustic black holes

Leonid Friedlander  On multiplicative properties of determinants

V. Gol’dshtein, V. Pchelintsev and A. Ukhlov  Spectral properties of the NeumannLaplace operator in quasiconformal regular domains

Yu. Ilyashenko  First steps of the global bifurcation theory in the plane

Victor Ivrii  Spectral asymptotics for fractional Laplacians

Alexander Katsevich, Marco Bertola and Alexander Tovbis  Spectral analysis and decomposition of normal operators related with the multiinterval finite Hilbert transform

Minh Kha and Vladimir Lin  Polynomiallike 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 DaveyStewartson II system

V. P. Maslov  Vortex quantization in classical mechanics

Alexander Pankov  Elliptic operators with nonstandard growth condition: Some results and open problems

Vladimir Rabinovich  Essential spectrum of Schrödinger operators with $\delta $ and $\delta ^{\prime }$interactions on systems of unbounded smooth hypersurfaces in $\mathbb {R}^{n}$


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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.
Graduate students and research mathematicians interested in partial differential equations, fluid dynamics, mathematical physics, biological applications, and the history of mathematics.

Articles

Peter Kuchment and Evgeny Semenov  Introduction

Selim Krein  Voronezh Winter Mathematical School The presentation at the opening of the XXth School

Selim Krein  Recollections of Mark Krein

Peter Kuchment and Vladimir Lin  Selim Krein and Voronezh Winter Mathematical Schools

M. Grabovskaya and V. Kononenko  A few words about our beloved teacher in mathematics and life

Ya. Belopolskaya  Probabilistic interpretations of quasilinear parabolic systems

S. Belyi and E. Tsekanovskiĭ  On sectorial Lsystems with Shrödinger operator

Alberto Cialdea and Vladimir Maz’ya  The $L^p$dissipativity of certain differential and integral operators

Gregory Derfel, Yaqin Feng and Stanislav Molchanov  Probabilistic approach to a cell growth model

Gregory Eskin  New examples of Hawking radiation from acoustic black holes

Leonid Friedlander  On multiplicative properties of determinants

V. Gol’dshtein, V. Pchelintsev and A. Ukhlov  Spectral properties of the NeumannLaplace operator in quasiconformal regular domains

Yu. Ilyashenko  First steps of the global bifurcation theory in the plane

Victor Ivrii  Spectral asymptotics for fractional Laplacians

Alexander Katsevich, Marco Bertola and Alexander Tovbis  Spectral analysis and decomposition of normal operators related with the multiinterval finite Hilbert transform

Minh Kha and Vladimir Lin  Polynomiallike 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 DaveyStewartson II system

V. P. Maslov  Vortex quantization in classical mechanics

Alexander Pankov  Elliptic operators with nonstandard growth condition: Some results and open problems

Vladimir Rabinovich  Essential spectrum of Schrödinger operators with $\delta $ and $\delta ^{\prime }$interactions on systems of unbounded smooth hypersurfaces in $\mathbb {R}^{n}$