Partial Differential Equations and Mathematical Physics [electronic resource] : The Danish-Swedish Analysis Seminar, 1995 /

On perturbation of embedded eigenvalues -- Blowup of classical solutions of nonlinear hyperbolic equations: a survey of recent results -- Global time decay of the amplitude of a reflected wave -- Weyl quantization and Fourier integral operators -- The local index theorem without smoothness -- How ideas from microlocal analysis can be applied in 2-D fluid mechanics -- Lp spectral independence for certain uniformly elliptic operators -- Trace asymptotics via almost analytic extensions -- A microlocal version of concentration-compactness -- Complete heat trace, resolvent and zeta expansions for general Atiyah-Patodi-Singer problems -- Semi-classical analysis for the transfer operator: WKB constructions in dimension 1 -- Several recent results in nonlinear geometric optics -- Stabilization of the wave equation by the boundary -- About small-power semilinear wave equations -- The Faddeev approach to inverse scattering from a micro-local perspective -- Fibrations, compactifications and algebras of pseudodifferential operators -- Degree theory beyond continuous maps -- On the Weyl formula for obstacles -- On the asymptotic completeness for particles in constant electromagnetic fields -- The size of atoms in Hartree-Fock theory -- Holomorphic extension of CR functions: a survey -- Local solvability in a class of overdetermined systems of linear PDE -- Neumann resonances in linear elasticity.

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Bibliographic Details
Main Authors: Hörmander, Lars. editor., Melin, Anders. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1996
Subjects:Mathematics., Mathematical analysis., Analysis (Mathematics)., Partial differential equations., Applied mathematics., Engineering mathematics., Physics., Analysis., Partial Differential Equations., Mathematical Methods in Physics., Applications of Mathematics.,
Online Access:http://dx.doi.org/10.1007/978-1-4612-0775-7
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Summary:On perturbation of embedded eigenvalues -- Blowup of classical solutions of nonlinear hyperbolic equations: a survey of recent results -- Global time decay of the amplitude of a reflected wave -- Weyl quantization and Fourier integral operators -- The local index theorem without smoothness -- How ideas from microlocal analysis can be applied in 2-D fluid mechanics -- Lp spectral independence for certain uniformly elliptic operators -- Trace asymptotics via almost analytic extensions -- A microlocal version of concentration-compactness -- Complete heat trace, resolvent and zeta expansions for general Atiyah-Patodi-Singer problems -- Semi-classical analysis for the transfer operator: WKB constructions in dimension 1 -- Several recent results in nonlinear geometric optics -- Stabilization of the wave equation by the boundary -- About small-power semilinear wave equations -- The Faddeev approach to inverse scattering from a micro-local perspective -- Fibrations, compactifications and algebras of pseudodifferential operators -- Degree theory beyond continuous maps -- On the Weyl formula for obstacles -- On the asymptotic completeness for particles in constant electromagnetic fields -- The size of atoms in Hartree-Fock theory -- Holomorphic extension of CR functions: a survey -- Local solvability in a class of overdetermined systems of linear PDE -- Neumann resonances in linear elasticity.