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Advances in differential equations and mathematical physics : UAB international conference, differential equations and mathematical physics, March 26-30, 2002, University of Alabama, Birmingham / Yulia Karpeshina [and three others], editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- International Conference on Differential Equations and Mathematical Physics, Corporate Author.
- Conference Name:
- International Conference on Differential Equations and Mathematical Physics (2002 : University of Alabama, Birmingham)
- International Conference on Differential Equations and Mathematical Physics.
- Series:
- Contemporary mathematics (American Mathematical Society). 0271-4132 327
- Contemporary mathematics, 0271-4132 ; 327 0271-4132
- Language:
- English
- Subjects (All):
- Differential equations--Congresses.
- Differential equations.
- Mathematical physics--Congresses.
- Mathematical physics.
- Physical Description:
- 1 online resource (xix, 387 p. )
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2003]
- Language Note:
- English
- Summary:
- This volume presents the proceedings of the 9th International Conference on Differential Equations and Mathematical Physics. It contains 29 research and survey papers contributed by conference participants. The papers represent some of the most interesting results and the major areas of research that were covered, including spectral theory with applications to non-relativistic and relativistic quantum mechanics, including time-dependent and random potential, resonances, many body systems, pseudodifferential operators and quantum dynamics, inverse spectral and scattering problems, the theory of linear and nonlinear partial differential equations with applications in fluid dynamics, conservation laws and numerical simulations, as well as equilibrium and nonequilibrium statistical mechanics. The volume is intended for graduate students and researchers interested in mathematical physics.
- Contents:
- Intro
- Contents
- Preface
- List of Plenary Speakers
- List of Special Sessions
- List of Participants
- Zero modes of Pauli and Weyl-Dirac operators
- The Lane-Emden equation revisited
- A Paley-Wiener theorem with applications to inverse spectral theory
- Zero-free regions for Jost functions: The Bessel case
- Concentration in solutions to hyperbolic conservation laws
- Local and global continuity of the integrated density of states
- Transition to the continuum of a particle in time-periodic potentials
- Quantum dynamical bounds for one-dimensional quasicrystals
- Lower order terms in Szegö theorems on Zoll manifolds
- Solution error models for uncertainty quantification
- Instantaneous blow up
- Simplified semiclassical propagation estimates
- Resolvent expansions and trace regularizations for Schrödinger operators
- A note on the entropy production formula
- Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach
- Asymptotics of spectra of Neumann Laplacians in thin domains
- Absolutely continuous spectrum of matrix valued Schrödinger operators
- Ergodic theory and discrete one-dimensional random Schrödinger operators: Uniform existence of the Lyapunov exponent
- Bose-Einstein condensation of dilute gases in traps
- On the dynamics of interfaces in the ferromagnetic XXZ chain under weak perturbations
- Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method
- Statistical mechanics of anharmonic lattices
- The essential spectrum of the linearized 2D Euler operator is a vertical band
- New coherent states and a new proof of the Scott correction
- Remark on weak solutions of stationary conduction-convection problems
- Spectrum of 1-d selfadjoint periodic differential operator of order 4.
- BV estimates for n x n systems of conservation laws
- The time-dependent approach to inverse scattering
- Blowup in hyperbolic conservation laws.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7917-0
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