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Partial Differential Equations and Their Applications

Edited by: Peter C. Greiner University of Toronto, Toronto, ON, Canada
Victor Ivrii University of Toronto, Toronto, ON, Canada
Luis A. Seco University of Toronto, Toronto, ON, Canada
Catherine Sulem University of Toronto, Toronto, ON, Canada
A co-publication of the AMS and Centre de Recherches Mathématiques
Available Formats:
Softcover ISBN: 978-0-8218-0687-6
Product Code: CRMP/12
List Price: $112.00 MAA Member Price:$100.80
AMS Member Price: $89.60 Electronic ISBN: 978-1-4704-3926-2 Product Code: CRMP/12.E List Price:$105.00
MAA Member Price: $94.50 AMS Member Price:$84.00
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $168.00 MAA Member Price:$151.20
AMS Member Price: $134.40 Click above image for expanded view Partial Differential Equations and Their Applications Edited by: Peter C. Greiner University of Toronto, Toronto, ON, Canada Victor Ivrii University of Toronto, Toronto, ON, Canada Luis A. Seco University of Toronto, Toronto, ON, Canada Catherine Sulem University of Toronto, Toronto, ON, Canada A co-publication of the AMS and Centre de Recherches Mathématiques Available Formats:  Softcover ISBN: 978-0-8218-0687-6 Product Code: CRMP/12  List Price:$112.00 MAA Member Price: $100.80 AMS Member Price:$89.60
 Electronic ISBN: 978-1-4704-3926-2 Product Code: CRMP/12.E
 List Price: $105.00 MAA Member Price:$94.50 AMS Member Price: $84.00 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:$168.00 MAA Member Price: $151.20 AMS Member Price:$134.40
• Book Details

CRM Proceedings & Lecture Notes
Volume: 121997; 315 pp
MSC: Primary 35;

This volume presents lectures given at the 1995 Annual Seminar of the Canadian Mathematical Society on Partial Differential Equations and Their Applications held at the University of Toronto in June 1995.

The conference consisted of a combination of minicourses, invited presentations, and contributed talks. In this volume readers will find contributions on a variety of topics related to PDE, such as spectral asymptotics, harmonic analysis, differential operators in hyperbolic manifolds, applications to geometry, mathematical physics, hydrodynamics, and the interaction between theory and numerical methods in PDE.

Graduate students, research mathematicians, physicists, and engineers interested in nonlinear PDE, spectral asymptotics, geometric analysis, and mathematical physics.

• Chapters
• Subelliptic geometry and fundamental solutions
• "Non-standard" spectral asymptotics for a two-dimensional Schrödinger operator
• Generic singularities for the steady Boussinesq equations
• On zeta functional determinant
• Some mathematical aspects of incompressible fluid mechanics
• On the microlocal regularity of the Schrödinger kernel
• Inverse scattering problems for the Schrödinger operators with external Yang-Mills potentials
• Existence and multiplicity of solutions for linear and nonlinear Dirac problems
• Stability of matter with magnetic fields
• A note on the multiplicity of surfaces with prescribed constant mean curvature
• The oblique derivative problem
• Stability of vortex solutions of the Ginzburg-Landau heat equation
• On some properties of zero sets and critical sets of solutions to elliptic equations
• Szegö type theorems
• Singularity formation for nonlinear Schrödinger equation and self-focusing of laser beams
• Ginzburg-Landau equation I. Static vortices
• Littlewood-Paley estimates: Some applications to elliptic boundary value problems
• Positive commutator methods for nonlinear wave equations. Constraints on periods and exponential decay of periodic solutions
• Generalized determinants for Sturm-Liouville problems on the real line
• Spectra and eigenfunctions of laplacians
• Time dependent resonance theory and perturbations of embedded eigenvalues
• On the negative discrete spectrum of the operator $-\Delta _{\mathcal {N}} - {\alpha }V$ for a class of unbounded domains in $\mathbb {R}^d$
• Vorticity structures in homogeneous turbulence
• Essential spectrum and $SO(2)$-symmetry of the energy operators of the Quantum systems with nonincreasing magnetic field
• Reviews

• The results presented and the variety of topics are impressive.

Monatshefte für Mathematik
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 121997; 315 pp
MSC: Primary 35;

This volume presents lectures given at the 1995 Annual Seminar of the Canadian Mathematical Society on Partial Differential Equations and Their Applications held at the University of Toronto in June 1995.

The conference consisted of a combination of minicourses, invited presentations, and contributed talks. In this volume readers will find contributions on a variety of topics related to PDE, such as spectral asymptotics, harmonic analysis, differential operators in hyperbolic manifolds, applications to geometry, mathematical physics, hydrodynamics, and the interaction between theory and numerical methods in PDE.

Graduate students, research mathematicians, physicists, and engineers interested in nonlinear PDE, spectral asymptotics, geometric analysis, and mathematical physics.

• Chapters
• Subelliptic geometry and fundamental solutions
• "Non-standard" spectral asymptotics for a two-dimensional Schrödinger operator
• Generic singularities for the steady Boussinesq equations
• On zeta functional determinant
• Some mathematical aspects of incompressible fluid mechanics
• On the microlocal regularity of the Schrödinger kernel
• Inverse scattering problems for the Schrödinger operators with external Yang-Mills potentials
• Existence and multiplicity of solutions for linear and nonlinear Dirac problems
• Stability of matter with magnetic fields
• A note on the multiplicity of surfaces with prescribed constant mean curvature
• The oblique derivative problem
• Stability of vortex solutions of the Ginzburg-Landau heat equation
• On some properties of zero sets and critical sets of solutions to elliptic equations
• Szegö type theorems
• Singularity formation for nonlinear Schrödinger equation and self-focusing of laser beams
• Ginzburg-Landau equation I. Static vortices
• Littlewood-Paley estimates: Some applications to elliptic boundary value problems
• Positive commutator methods for nonlinear wave equations. Constraints on periods and exponential decay of periodic solutions
• Generalized determinants for Sturm-Liouville problems on the real line
• Spectra and eigenfunctions of laplacians
• Time dependent resonance theory and perturbations of embedded eigenvalues
• On the negative discrete spectrum of the operator $-\Delta _{\mathcal {N}} - {\alpha }V$ for a class of unbounded domains in $\mathbb {R}^d$
• Vorticity structures in homogeneous turbulence
• Essential spectrum and $SO(2)$-symmetry of the energy operators of the Quantum systems with nonincreasing magnetic field
• The results presented and the variety of topics are impressive.

Monatshefte für Mathematik
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.