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Softcover ISBN:  9780821821572 
Product Code:  AMSIP/16 
List Price:  $81.00 
MAA Member Price:  $72.90 
AMS Member Price:  $64.80 
eBook ISBN:  9781470438074 
Product Code:  AMSIP/16.E 
List Price:  $76.00 
MAA Member Price:  $68.40 
AMS Member Price:  $60.80 
Softcover ISBN:  9780821821572 
eBook ISBN:  9781470438074 
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 DetailsAMS/IP Studies in Advanced MathematicsVolume: 16; 2000; 461 ppMSC: 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 copublished with International Press of Boston, Inc., Cambridge, MA.
ReadershipResearchers and graduate students interested in differential equations and mathematical physics.

Table of Contents

Chapters

On the BrownRavenhall 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 logSobolev 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 ChernSimons 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 sineGordon and modified Kortewegde Vries hierarchy and its algebrogeometric solutions

A minimax principle for eigenvalues in spectral gaps

Semiclassical dynamics and exponential asymptotics

Genericity of the bandgap 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

Selfenergy of electrons in nonperturbative QED

The ground state energy of a dilute Bose gas

Trace formulae and completely integrable Hamiltonians

On the maximum and antimaximum principles

The null condition and global existence of nonlinear elastic waves

The HartreeFock approximation in quantum electrodynamics–Positivity of the energy

Shockwave cosmology

On some reverse inequalities in the SegalBargmann space

On the initial value problem of the Toda and Kacvan Moerbeke hierarchies

A class of nonselfadjoint Hill’s operators with analytic potentials

Regularized long waveKP 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


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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 copublished with International Press of Boston, Inc., Cambridge, MA.
Researchers and graduate students interested in differential equations and mathematical physics.

Chapters

On the BrownRavenhall 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 logSobolev 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 ChernSimons 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 sineGordon and modified Kortewegde Vries hierarchy and its algebrogeometric solutions

A minimax principle for eigenvalues in spectral gaps

Semiclassical dynamics and exponential asymptotics

Genericity of the bandgap 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

Selfenergy of electrons in nonperturbative QED

The ground state energy of a dilute Bose gas

Trace formulae and completely integrable Hamiltonians

On the maximum and antimaximum principles

The null condition and global existence of nonlinear elastic waves

The HartreeFock approximation in quantum electrodynamics–Positivity of the energy

Shockwave cosmology

On some reverse inequalities in the SegalBargmann space

On the initial value problem of the Toda and Kacvan Moerbeke hierarchies

A class of nonselfadjoint Hill’s operators with analytic potentials

Regularized long waveKP 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