Partial Differential Equations and Mathematical Physics: The Danish-Swedish Analysis Seminar, 1995 - Softcover

Softcover

ISBN 10: 1461207762 ISBN 13: 9781461207764

Publisher: Birkhäuser, 2014

Synopsis

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2014
• ISBN 10: 1461207762
• ISBN 13: 9781461207764
• Binding: Paperback
• Language: English
• Number of pages: 388
• Editor: Hörmander Lars, Melin Anders