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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
Available Formats:
Softcover ISBN: 978-0-8218-3296-7
Product Code: CONM/327
387 pp
List Price: $116.00 MAA Member Price:$104.40
AMS Member Price: $92.80 Electronic ISBN: 978-0-8218-7917-7 Product Code: CONM/327.E 387 pp List Price:$109.00
MAA Member Price: $98.10 AMS Member Price:$87.20
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List Price: $174.00 MAA Member Price:$156.60
AMS Member Price: $139.20 Click above image for expanded view 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 Available Formats:  Softcover ISBN: 978-0-8218-3296-7 Product Code: CONM/327 387 pp  List Price:$116.00 MAA Member Price: $104.40 AMS Member Price:$92.80
 Electronic ISBN: 978-0-8218-7917-7 Product Code: CONM/327.E 387 pp
 List Price: $109.00 MAA Member Price:$98.10 AMS Member Price: $87.20 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$174.00
MAA Member Price: $156.60 AMS Member Price:$139.20
• Book Details

Contemporary Mathematics
Volume: 3272003
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.

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 ]
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• Get Permissions
Volume: 3272003
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.

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 ]
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