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Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial
 
Edited by: Peter Kuchment Texas A&M University, College Station, TX
Evgeny Semenov Voronezh State University, Voronezh, Russia
Differential Equations, Mathematical Physics, and Applications
Softcover ISBN:  978-1-4704-3783-1
Product Code:  CONM/734
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5358-9
Product Code:  CONM/734.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-3783-1
eBook: ISBN:  978-1-4704-5358-9
Product Code:  CONM/734.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Differential Equations, Mathematical Physics, and Applications
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Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial
Edited by: Peter Kuchment Texas A&M University, College Station, TX
Evgeny Semenov Voronezh State University, Voronezh, Russia
Softcover ISBN:  978-1-4704-3783-1
Product Code:  CONM/734
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-5358-9
Product Code:  CONM/734.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-3783-1
eBook ISBN:  978-1-4704-5358-9
Product Code:  CONM/734.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7342019; 310 pp
    MSC: 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.

    Readership

    Graduate 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 L-systems 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 Neumann-Laplace 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 multi-interval finite Hilbert transform
    • Minh Kha and Vladimir 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
    • 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 $\mathbb {R}^{n}$
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7342019; 310 pp
MSC: 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.

Readership

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 L-systems 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 Neumann-Laplace 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 multi-interval finite Hilbert transform
  • Minh Kha and Vladimir 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
  • 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 $\mathbb {R}^{n}$
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.