AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Differential Equations and Mathematical Physics
About this Title
Rudi Weikard, University of Alabama, Birmingham, Birmingham, AL and Gilbert Weinstein, University of Alabama, Birmingham, Birmingham, AL, Editors
Publication: AMS/IP Studies in Advanced Mathematics
Publication Year:
2000; Volume 16
ISBNs: 978-0-8218-2157-2 (print); 978-1-4704-3807-4 (online)
DOI: https://doi.org/10.1090/amsip/016
MathSciNet review: MR1759613
MSC: Primary 00B25
ReadershipTable of Contents
Front/Back Matter
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