Electronic ISBN:  9780821879177 
Product Code:  CONM/327.E 
List Price:  $109.00 
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Book DetailsContemporary MathematicsVolume: 327; 2003; 387 ppMSC: 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 nonrelativistic and relativistic quantum mechanics, including timedependent 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.ReadershipGraduate students and researchers interested in mathematical physics.

Table of Contents

Articles

A. A. Balinsky and W. D. Evans  Zero modes of Pauli and WeylDirac operators [ MR 1991527 ]

Rafael D. Benguria  The LaneEmden equation revisited [ MR 1991528 ]

Christer Bennewitz  A PaleyWiener theorem with applications to inverse spectral theory [ MR 1991529 ]

B. M. Brown and M. S. P. Eastham  Zerofree regions for Jost functions: the Bessel case [ MR 1991530 ]

GuiQiang 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 timeperiodic potentials [ MR 1991533 ]

David Damanik  Quantum dynamical bounds for onedimensional 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 ClaudeAlain 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 onedimensional random Schrödinger operators: uniform existence of the Lyapunov exponent [ MR 1991544 ]

Elliott H. Lieb and Robert Seiringer  BoseEinstein 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 ReyBellet  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 conductionconvection problems [ MR 1991551 ]

V. Tkachenko  Spectrum of 1d 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 timedependent approach to inverse scattering [ MR 1991554 ]

Robin Young  Blowup in hyperbolic conservation laws [ MR 1991555 ]


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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 nonrelativistic and relativistic quantum mechanics, including timedependent 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.
Graduate students and researchers interested in mathematical physics.

Articles

A. A. Balinsky and W. D. Evans  Zero modes of Pauli and WeylDirac operators [ MR 1991527 ]

Rafael D. Benguria  The LaneEmden equation revisited [ MR 1991528 ]

Christer Bennewitz  A PaleyWiener theorem with applications to inverse spectral theory [ MR 1991529 ]

B. M. Brown and M. S. P. Eastham  Zerofree regions for Jost functions: the Bessel case [ MR 1991530 ]

GuiQiang 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 timeperiodic potentials [ MR 1991533 ]

David Damanik  Quantum dynamical bounds for onedimensional 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 ClaudeAlain 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 onedimensional random Schrödinger operators: uniform existence of the Lyapunov exponent [ MR 1991544 ]

Elliott H. Lieb and Robert Seiringer  BoseEinstein 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 ReyBellet  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 conductionconvection problems [ MR 1991551 ]

V. Tkachenko  Spectrum of 1d 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 timedependent approach to inverse scattering [ MR 1991554 ]

Robin Young  Blowup in hyperbolic conservation laws [ MR 1991555 ]