Partial Differential Equations and Mathematical Physics

Inhaltsverzeichnis

• 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.