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Advances in Differential Equations and Mathematical Physics.

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 tha...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Karpeshina, Yulia
Otros Autores: Weikard, Rudi, Zeng, Yanni
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2003.
Colección:Contemporary Mathematics Ser.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 SzegÃœ theorems on Zoll manifoldsSolution error models for uncertainty quantification; Instantaneous blow up; Simplified semiclassical propagation estimates; Resolvent expansions and trace regularizations for SchrÃœdinger 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 SchrÃœdinger operators.
  • Ergodic theory and discrete one-dimensional random SchrÃœdinger operators: Uniform existence of the Lyapunov exponentBose-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 SchrÃœdinger 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 problemsSpectrum 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.