Softcover ISBN:  9780821806876 
Product Code:  CRMP/12 
List Price:  $112.00 
MAA Member Price:  $100.80 
AMS Member Price:  $89.60 
Electronic ISBN:  9781470439262 
Product Code:  CRMP/12.E 
List Price:  $105.00 
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AMS Member Price:  $84.00 

Book DetailsCRM Proceedings & Lecture NotesVolume: 12; 1997; 315 ppMSC: 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.ReadershipGraduate students, research mathematicians, physicists, and engineers interested in nonlinear PDE, spectral asymptotics, geometric analysis, and mathematical physics.

Table of Contents

Chapters

Subelliptic geometry and fundamental solutions

"Nonstandard" spectral asymptotics for a twodimensional 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 YangMills 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 GinzburgLandau 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 selffocusing of laser beams

GinzburgLandau equation I. Static vortices

LittlewoodPaley 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 SturmLiouville 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


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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

"Nonstandard" spectral asymptotics for a twodimensional 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 YangMills 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 GinzburgLandau 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 selffocusing of laser beams

GinzburgLandau equation I. Static vortices

LittlewoodPaley 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 SturmLiouville 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