CRM Proceedings & Lecture Notes 1997; 315 pp; softcover Volume: 12 ISBN10: 0821806874 ISBN13: 9780821806876 List Price: US$103 Member Price: US$82.40 Order Code: CRMP/12
 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. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students, research mathematicians, physicists, and engineers interested in nonlinear PDE, spectral asymptotics, geometric analysis, and mathematical physics. Reviews "The results presented and the variety of topics are impressive."  Monatshefte für Mathematik Table of Contents  R. Beals, B. Gaveau, and P. Greiner  Subelliptic geometry and fundamental solutions
 M. Sh. Birman and A. Laptev  "Nonstandard" spectral asymptotics for a twodimensional Schrödinger operator
 R. E. Caflisch, N. Ercolani, and G. Steele  Generic singularities for the steady Boussinesq equations
 S.Y. A. Chang  On zeta functional determinant
 P. Constantin  Some mathematical aspects of incompressible fluid mechanics
 W. Craig  On the microlocal regularity of the Schrödinger kernel
 G. Eskin and J. Ralston  Inverse scattering problems for the Schrödinger operators with external YangMills potentials
 M. J. Esteban and E. Séré  Existence and multiplicity of solutions for linear and nonlinear Dirac problems
 C. L. Fefferman  Stability of matter with magnetic fields
 N. Ghoussoub  A note on the multiplicity of surfaces with prescribed constant mean curvature
 P. Guan and E. Sawyer  The oblique derivative problem
 S. Gustafson  Stability of vortex solutions of the GinzburgLandau heat equation
 M. HoffmannOstenhof, T. HoffmannOstenhof, and N. Nadirashvili  On some properties of zero sets and critical sets of solutions to elliptic equations
 A. Laptev and Y. Safarov  Szegő type theorems
 V. Malkin  Singularity formation for nonlinear Schrödinger equation and selffocusing of laser beams
 Y. N. Ovchinnikov and I. M. Sigal  GinzburgLandau equation I. Static vortices
 J. C. Pipher  LittlewoodPaley estimates: Some applications to elliptic boundary value problems
 R. M. Pyke and I. M. Sigal  Positive commutator methods for nonlinear wave equations. Constraints on periods and exponential decay of periodic solutions
 D. Robert and V. Sordoni  Generalized determinants for SturmLiouville problems on the real line
 P. Sarnak  Spectra and eigenfunctions of laplacians
 A. Soffer and M. I. Weinstein  Time dependent resonance theory and perturbations of embedded eigenvalues
 M. Solomyak  On the negative discrete spectrum of the operator \(\Delta_{\mathcal{N}}  {\alpha}V\) for a class of unbounded domains in \(\mathbb{R}^d\)
 P.L. Sulem  Vorticity structures in homogeneous turbulence
 G. Zhislin  Essential spectrum and \(SO(2)\)symmetry of the energy operators of the 1uantum systems with nonincreasing magnetic field
