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Differential Equations and Mathematical Physics
 
Edited by: Rudi Weikard University of Alabama, Birmingham, Birmingham, AL
Gilbert Weinstein University of Alabama, Birmingham, Birmingham, AL
A co-publication of the AMS and International Press of Boston
Differential Equations and Mathematical Physics
Softcover ISBN:  978-0-8218-2157-2
Product Code:  AMSIP/16
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $64.80
eBook ISBN:  978-1-4704-3807-4
Product Code:  AMSIP/16.E
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
Softcover ISBN:  978-0-8218-2157-2
eBook: ISBN:  978-1-4704-3807-4
Product Code:  AMSIP/16.B
List Price: $157.00 $119.00
MAA Member Price: $141.30 $107.10
AMS Member Price: $125.60 $95.20
Differential Equations and Mathematical Physics
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Differential Equations and Mathematical Physics
Edited by: Rudi Weikard University of Alabama, Birmingham, Birmingham, AL
Gilbert Weinstein University of Alabama, Birmingham, Birmingham, AL
A co-publication of the AMS and International Press of Boston
Softcover ISBN:  978-0-8218-2157-2
Product Code:  AMSIP/16
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $64.80
eBook ISBN:  978-1-4704-3807-4
Product Code:  AMSIP/16.E
List Price: $76.00
MAA Member Price: $68.40
AMS Member Price: $60.80
Softcover ISBN:  978-0-8218-2157-2
eBook ISBN:  978-1-4704-3807-4
Product Code:  AMSIP/16.B
List Price: $157.00 $119.00
MAA Member Price: $141.30 $107.10
AMS Member Price: $125.60 $95.20
  • Book Details
     
     
    AMS/IP Studies in Advanced Mathematics
    Volume: 162000; 461 pp
    MSC: Primary 34; 35

    This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrödinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems.

    Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

    Readership

    Researchers and graduate students interested in differential equations and mathematical physics.

  • Table of Contents
     
     
    • Chapters
    • On the Brown-Ravenhall relativistic Hamiltonian and the stability of matter
    • Assessing accuracy in a numerical Einstein solver
    • Variational principle for the limit cycle of Rayleigh’s equation
    • Approach to the singularity in spatially inhomogeneous cosmologies
    • On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential
    • Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems
    • One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields
    • Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory
    • Approximate eigenvectors and spectral theory
    • The initial value problem in the large and spacetime singularities
    • On the kernel of $Spin^c$ Dirac operators on $\mathbb S^3$ and $\mathbb {R}^3$
    • Realizing holonomic constraints in classical and quantum mechanics
    • A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions
    • A minimax principle for eigenvalues in spectral gaps
    • Semiclassical dynamics and exponential asymptotics
    • Genericity of the band-gap structure of periodic media in the large coupling limit
    • Distribution of eigenvalues in the dense point spectrum of Schrödinger operators
    • On the distribution of scattering resonances for asymptotically hyperbolic manifolds
    • The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity
    • Schrödinger operator perturbed by dynamics of lower dimension
    • Hyperbolic inverse problem with data on a part of the boundary
    • Best Sobolev inequalities on Riemannian manifolds
    • Self-energy of electrons in non-perturbative QED
    • The ground state energy of a dilute Bose gas
    • Trace formulae and completely integrable Hamiltonians
    • On the maximum and anti-maximum principles
    • The null condition and global existence of nonlinear elastic waves
    • The Hartree-Fock approximation in quantum electrodynamics–Positivity of the energy
    • Shock-wave cosmology
    • On some reverse inequalities in the Segal-Bargmann space
    • On the initial value problem of the Toda and Kac-van Moerbeke hierarchies
    • A class of non-selfadjoint Hill’s operators with analytic potentials
    • Regularized long wave-KP models
    • Spectral issues for block operator matrices
    • Some fully nonlinear equations in conformal geometry
    • $L^p - L^{\acute {p}}$ estimates for the Schrödinger equation and inverse scattering
    • Stationary states of Vlasov system
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 162000; 461 pp
MSC: Primary 34; 35

This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrödinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

Readership

Researchers and graduate students interested in differential equations and mathematical physics.

  • Chapters
  • On the Brown-Ravenhall relativistic Hamiltonian and the stability of matter
  • Assessing accuracy in a numerical Einstein solver
  • Variational principle for the limit cycle of Rayleigh’s equation
  • Approach to the singularity in spatially inhomogeneous cosmologies
  • On the absolute continuity of the periodic Schrödinger and Dirac operators with magnetic potential
  • Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems
  • One dimensional regularizations of the Coulomb potential with application to atoms in strong magnetic fields
  • Construction of a solution to the semilinear elliptic equation in Chern-Simons gauge theory
  • Approximate eigenvectors and spectral theory
  • The initial value problem in the large and spacetime singularities
  • On the kernel of $Spin^c$ Dirac operators on $\mathbb S^3$ and $\mathbb {R}^3$
  • Realizing holonomic constraints in classical and quantum mechanics
  • A combined sine-Gordon and modified Korteweg-de Vries hierarchy and its algebro-geometric solutions
  • A minimax principle for eigenvalues in spectral gaps
  • Semiclassical dynamics and exponential asymptotics
  • Genericity of the band-gap structure of periodic media in the large coupling limit
  • Distribution of eigenvalues in the dense point spectrum of Schrödinger operators
  • On the distribution of scattering resonances for asymptotically hyperbolic manifolds
  • The multiformity of Lifshits tails caused by random Landau Hamiltonians with repulsive impurity potentials of different decay at infinity
  • Schrödinger operator perturbed by dynamics of lower dimension
  • Hyperbolic inverse problem with data on a part of the boundary
  • Best Sobolev inequalities on Riemannian manifolds
  • Self-energy of electrons in non-perturbative QED
  • The ground state energy of a dilute Bose gas
  • Trace formulae and completely integrable Hamiltonians
  • On the maximum and anti-maximum principles
  • The null condition and global existence of nonlinear elastic waves
  • The Hartree-Fock approximation in quantum electrodynamics–Positivity of the energy
  • Shock-wave cosmology
  • On some reverse inequalities in the Segal-Bargmann space
  • On the initial value problem of the Toda and Kac-van Moerbeke hierarchies
  • A class of non-selfadjoint Hill’s operators with analytic potentials
  • Regularized long wave-KP models
  • Spectral issues for block operator matrices
  • Some fully nonlinear equations in conformal geometry
  • $L^p - L^{\acute {p}}$ estimates for the Schrödinger equation and inverse scattering
  • Stationary states of Vlasov system
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.