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Partial Differential Equations and Their Applications

About this Title

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 and Catherine Sulem, University of Toronto, Toronto, ON, Canada, Editors

Publication: CRM Proceedings and Lecture Notes
Publication Year: 1997; Volume 12
ISBNs: 978-0-8218-0687-6 (print); 978-1-4704-3926-2 (online)
DOI: https://doi.org/10.1090/crmp/012
MathSciNet review: MR1479232
MSC: Primary 35-06; Secondary 00B25

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Table of Contents

Front/Back Matter

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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

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