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Advances in Differential Equations and Mathematical Physics
 
Edited by: Yulia Karpeshina University of Alabama, Birmingham, AL
Günter Stolz University of Alabama, Birmingham, AL
Rudi Weikard University of Alabama, Birmingham, AL
Yanni Zeng University of Alabama, Birmingham, AL
Advances in Differential Equations and Mathematical Physics
eBook ISBN:  978-0-8218-7917-7
Product Code:  CONM/327.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Advances in Differential Equations and Mathematical Physics
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Advances in Differential Equations and Mathematical Physics
Edited by: Yulia Karpeshina University of Alabama, Birmingham, AL
Günter Stolz University of Alabama, Birmingham, AL
Rudi Weikard University of Alabama, Birmingham, AL
Yanni Zeng University of Alabama, Birmingham, AL
eBook ISBN:  978-0-8218-7917-7
Product Code:  CONM/327.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3272003; 387 pp
    MSC: Primary 34; 35; 76; 81; 82

    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 conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics.

    Papers in this volume 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.

    Readership

    Graduate students and researchers interested in mathematical physics.

  • Table of Contents
     
     
    • Articles
    • A. A. Balinsky and W. D. Evans — Zero modes of Pauli and Weyl-Dirac operators [ MR 1991527 ]
    • Rafael D. Benguria — The Lane-Emden equation revisited [ MR 1991528 ]
    • Christer Bennewitz — A Paley-Wiener theorem with applications to inverse spectral theory [ MR 1991529 ]
    • B. M. Brown and M. S. P. Eastham — Zero-free regions for Jost functions: the Bessel case [ MR 1991530 ]
    • Gui-Qiang Chen — Concentration in solutions to hyperbolic conservation laws [ MR 1991531 ]
    • J.-M. Combes, P. D. Hislop and F. Klopp — Local and global continuity of the integrated density of states [ MR 1991532 ]
    • O. Costin, R. D. Costin and J. L. Lebowitz — Transition to the continuum of a particle in time-periodic potentials [ MR 1991533 ]
    • David Damanik — Quantum dynamical bounds for one-dimensional quasicrystals [ MR 1991534 ]
    • Dimitri Gioev — Lower order terms in Szegő theorems on Zoll manifolds [ MR 1991535 ]
    • J. Glimm, S. Hou, Y.-H. Lee, D. H. Sharp and K. Ye — Solution error models for uncertainty quantification [ MR 1991536 ]
    • Jerome A. Goldstein and Ismail Kombe — Instantaneous blow up [ MR 1991537 ]
    • George A. Hagedorn — Simplified semiclassical propagation estimates [ MR 1991538 ]
    • Michael Hitrik and Iosif Polterovich — Resolvent expansions and trace regularizations for Schrödinger operators [ MR 1991539 ]
    • Vojkan Jakšić and Claude-Alain Pillet — A note on the entropy production formula [ MR 1991540 ]
    • Vadim Kostrykin, Konstantin A. Makarov and Alexander K. Motovilov — Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach [ MR 1991541 ]
    • Peter Kuchment and Hongbiao Zeng — Asymptotics of spectra of Neumann Laplacians in thin domains [ MR 1991542 ]
    • Ari Laptev and Oleg Safronov — Absolutely continuous spectrum of matrix valued Schrödinger operators [ MR 1991543 ]
    • Daniel Lenz — Ergodic theory and discrete one-dimensional random Schrödinger operators: uniform existence of the Lyapunov exponent [ MR 1991544 ]
    • Elliott H. Lieb and Robert Seiringer — Bose-Einstein condensation of dilute gases in traps [ MR 1991545 ]
    • Bruno Nachtergaele, Wolfgang L. Spitzer and Shannon Starr — On the dynamics of interfaces in the ferromagnetic $XXZ$ chain under weak perturbations [ MR 1991546 ]
    • Nataša Pavlović — Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method [ MR 1991547 ]
    • Luc Rey-Bellet — Statistical mechanics of anharmonic lattices [ MR 1991548 ]
    • Roman Shvidkoy and Yuri Latushkin — The essential spectrum of the linearized 2D Euler operator is a vertical band [ MR 1991549 ]
    • Jan Philip Solovej and Wolfgang L. Spitzer — New coherent states and a new proof of the Scott correction [ MR 1991550 ]
    • Bo Su — Remark on weak solutions of stationary conduction-convection problems [ MR 1991551 ]
    • V. Tkachenko — Spectrum of 1-d selfadjoint periodic differential operator of order 4 [ MR 1991552 ]
    • Konstantina Trivisa — BV estimates for $n\times n$ systems of conservation laws [ MR 1991553 ]
    • Ricardo Weder — The time-dependent approach to inverse scattering [ MR 1991554 ]
    • Robin Young — Blowup in hyperbolic conservation laws [ MR 1991555 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 3272003; 387 pp
MSC: Primary 34; 35; 76; 81; 82

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 conference provided researchers a forum to present and discuss their recent results in a broad range of areas encompassing the theory of differential equations and their applications in mathematical physics.

Papers in this volume 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.

Readership

Graduate students and researchers interested in mathematical physics.

  • Articles
  • A. A. Balinsky and W. D. Evans — Zero modes of Pauli and Weyl-Dirac operators [ MR 1991527 ]
  • Rafael D. Benguria — The Lane-Emden equation revisited [ MR 1991528 ]
  • Christer Bennewitz — A Paley-Wiener theorem with applications to inverse spectral theory [ MR 1991529 ]
  • B. M. Brown and M. S. P. Eastham — Zero-free regions for Jost functions: the Bessel case [ MR 1991530 ]
  • Gui-Qiang Chen — Concentration in solutions to hyperbolic conservation laws [ MR 1991531 ]
  • J.-M. Combes, P. D. Hislop and F. Klopp — Local and global continuity of the integrated density of states [ MR 1991532 ]
  • O. Costin, R. D. Costin and J. L. Lebowitz — Transition to the continuum of a particle in time-periodic potentials [ MR 1991533 ]
  • David Damanik — Quantum dynamical bounds for one-dimensional quasicrystals [ MR 1991534 ]
  • Dimitri Gioev — Lower order terms in Szegő theorems on Zoll manifolds [ MR 1991535 ]
  • J. Glimm, S. Hou, Y.-H. Lee, D. H. Sharp and K. Ye — Solution error models for uncertainty quantification [ MR 1991536 ]
  • Jerome A. Goldstein and Ismail Kombe — Instantaneous blow up [ MR 1991537 ]
  • George A. Hagedorn — Simplified semiclassical propagation estimates [ MR 1991538 ]
  • Michael Hitrik and Iosif Polterovich — Resolvent expansions and trace regularizations for Schrödinger operators [ MR 1991539 ]
  • Vojkan Jakšić and Claude-Alain Pillet — A note on the entropy production formula [ MR 1991540 ]
  • Vadim Kostrykin, Konstantin A. Makarov and Alexander K. Motovilov — Existence and uniqueness of solutions to the operator Riccati equation. A geometric approach [ MR 1991541 ]
  • Peter Kuchment and Hongbiao Zeng — Asymptotics of spectra of Neumann Laplacians in thin domains [ MR 1991542 ]
  • Ari Laptev and Oleg Safronov — Absolutely continuous spectrum of matrix valued Schrödinger operators [ MR 1991543 ]
  • Daniel Lenz — Ergodic theory and discrete one-dimensional random Schrödinger operators: uniform existence of the Lyapunov exponent [ MR 1991544 ]
  • Elliott H. Lieb and Robert Seiringer — Bose-Einstein condensation of dilute gases in traps [ MR 1991545 ]
  • Bruno Nachtergaele, Wolfgang L. Spitzer and Shannon Starr — On the dynamics of interfaces in the ferromagnetic $XXZ$ chain under weak perturbations [ MR 1991546 ]
  • Nataša Pavlović — Bounds for sums of powers of eigenvalues of Schrödinger operators via the commutation method [ MR 1991547 ]
  • Luc Rey-Bellet — Statistical mechanics of anharmonic lattices [ MR 1991548 ]
  • Roman Shvidkoy and Yuri Latushkin — The essential spectrum of the linearized 2D Euler operator is a vertical band [ MR 1991549 ]
  • Jan Philip Solovej and Wolfgang L. Spitzer — New coherent states and a new proof of the Scott correction [ MR 1991550 ]
  • Bo Su — Remark on weak solutions of stationary conduction-convection problems [ MR 1991551 ]
  • V. Tkachenko — Spectrum of 1-d selfadjoint periodic differential operator of order 4 [ MR 1991552 ]
  • Konstantina Trivisa — BV estimates for $n\times n$ systems of conservation laws [ MR 1991553 ]
  • Ricardo Weder — The time-dependent approach to inverse scattering [ MR 1991554 ]
  • Robin Young — Blowup in hyperbolic conservation laws [ MR 1991555 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.