Partial Differential Equations and Mathematical Physics (eBook, PDF)
The Danish-Swedish Analysis Seminar, 1995
Redaktion: Hörmander, Lars; Melin, Anders
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Partial Differential Equations and Mathematical Physics (eBook, PDF)
The Danish-Swedish Analysis Seminar, 1995
Redaktion: Hörmander, Lars; Melin, Anders
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Produktdetails
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- Verlag: Birkhäuser Boston
- Seitenzahl: 376
- Erscheinungstermin: 17. April 2013
- Englisch
- ISBN-13: 9781461207757
- Artikelnr.: 44203326
- Verlag: Birkhäuser Boston
- Seitenzahl: 376
- Erscheinungstermin: 17. April 2013
- Englisch
- ISBN-13: 9781461207757
- Artikelnr.: 44203326
- Herstellerkennzeichnung Die Herstellerinformationen sind derzeit nicht verfügbar.
Lars Hörmander, born 1931 in Sweden, did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor.
Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators.
Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators.
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.
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.