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Advances in Differential Equations and Mathematical Physics
 
Edited by: Eric Carlen Georgia Institute of Technology, Atlanta, GA
Evans M. Harrell Georgia Institute of Technology, Atlanta, GA
Michael Loss Georgia Institute of Technology, Atlanta, GA
Advances in Differential Equations and Mathematical Physics
eBook ISBN:  978-0-8218-7809-5
Product Code:  CONM/217.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Advances in Differential Equations and Mathematical Physics
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Advances in Differential Equations and Mathematical Physics
Edited by: Eric Carlen Georgia Institute of Technology, Atlanta, GA
Evans M. Harrell Georgia Institute of Technology, Atlanta, GA
Michael Loss Georgia Institute of Technology, Atlanta, GA
eBook ISBN:  978-0-8218-7809-5
Product Code:  CONM/217.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2171998; 221 pp
    MSC: Primary 35; 60; 81; 82;

    This volume consists of selected contributions from the “Georgia Institute of Technology-UAB International Conference on Differential Equations and Mathematical Physics”. The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrödinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic.

    Readership

    Graduate students, research mathematicians and physicists working in mathematical physics, applied mathematics, analysis, and differential equations.

  • Table of Contents
     
     
    • Articles
    • Rafael D. Benguria and M. Cristina Depassier — A variational method for nonlinear eigenvalue problems [ MR 1605265 ]
    • Jacqueline Fleckinger-Pellé and Peter Takáč — Maximum and anti-maximum principles for some elliptic problems [ MR 1605266 ]
    • M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and N. Nadirashvili — On the nodal line conjecture [ MR 1605269 ]
    • Kenji Yajima — On fundamental solution of time dependent Schrödinger equations [ MR 1605270 ]
    • Pavel Exner — Laterally coupled quantum waveguides [ MR 1605273 ]
    • Antti Kupiainen — Some mathematical problems in passive advection [ MR 1605274 ]
    • Elliott H. Lieb — Stability and instability of relativistic electrons in classical electromagnetic fields [ MR 1605277 ]
    • Raymond Brummelhuis and Mary Beth Ruskai — A simple one-dimensional model for atoms in strong magnetic fields [ MR 1605278 ]
    • G. Zhislin and S. Vugal′ter — Geometric methods for many-particle Hamiltonians with magnetic fields [ MR 1605281 ]
    • László Erdős and Horng-Tzer Yau — Linear Boltzmann equation as scaling limit of quantum Lorentz gas [ MR 1605282 ]
    • S. Molchanov — Multiscattering on sparse bumps [ MR 1606716 ]
    • Alexander Ya. Gordon — Purely continuous spectrum for generic almost-periodic potential [ MR 1606717 ]
    • J. M. Combes, P. D. Hislop and E. Mourre — Correlated Wegner inequalities for random Schrödinger operators [ MR 1606718 ]
    • Dénes Petz and Fumio Hiai — Logarithmic energy as an entropy functional [ MR 1606719 ]
  • 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: 2171998; 221 pp
MSC: Primary 35; 60; 81; 82;

This volume consists of selected contributions from the “Georgia Institute of Technology-UAB International Conference on Differential Equations and Mathematical Physics”. The book offers a combination of certain emerging topics and important research advances in this active area. The topics range widely and include magnetic Schrödinger operators, the Boltzmann equations, nonlinear variational problems, and noncommutative probability theory. Some articles were included for their aesthetic value and others to present an overview. All articles were reviewed for scientific content and readability. The text is suitable for graduate and advanced graduate courses and seminars on the topic.

Readership

Graduate students, research mathematicians and physicists working in mathematical physics, applied mathematics, analysis, and differential equations.

  • Articles
  • Rafael D. Benguria and M. Cristina Depassier — A variational method for nonlinear eigenvalue problems [ MR 1605265 ]
  • Jacqueline Fleckinger-Pellé and Peter Takáč — Maximum and anti-maximum principles for some elliptic problems [ MR 1605266 ]
  • M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and N. Nadirashvili — On the nodal line conjecture [ MR 1605269 ]
  • Kenji Yajima — On fundamental solution of time dependent Schrödinger equations [ MR 1605270 ]
  • Pavel Exner — Laterally coupled quantum waveguides [ MR 1605273 ]
  • Antti Kupiainen — Some mathematical problems in passive advection [ MR 1605274 ]
  • Elliott H. Lieb — Stability and instability of relativistic electrons in classical electromagnetic fields [ MR 1605277 ]
  • Raymond Brummelhuis and Mary Beth Ruskai — A simple one-dimensional model for atoms in strong magnetic fields [ MR 1605278 ]
  • G. Zhislin and S. Vugal′ter — Geometric methods for many-particle Hamiltonians with magnetic fields [ MR 1605281 ]
  • László Erdős and Horng-Tzer Yau — Linear Boltzmann equation as scaling limit of quantum Lorentz gas [ MR 1605282 ]
  • S. Molchanov — Multiscattering on sparse bumps [ MR 1606716 ]
  • Alexander Ya. Gordon — Purely continuous spectrum for generic almost-periodic potential [ MR 1606717 ]
  • J. M. Combes, P. D. Hislop and E. Mourre — Correlated Wegner inequalities for random Schrödinger operators [ MR 1606718 ]
  • Dénes Petz and Fumio Hiai — Logarithmic energy as an entropy functional [ MR 1606719 ]
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.