In PDEII we shall continue the basic theory of linear PDE by looking at pseudodifferential operators (including the so called semiclassical case, where
differential operators of first order are multiplied by a small parameter). We shall treat functional calculus, symbolic calculus and sketch some applications
to spectral asymptotics. Furthermore, we shall introduce the basic theory of the wavefront set and the theory of propagation of singularities. A first sketch of Fourier integral operators shall be included. I aim at applying these results to the time dependent parametrix construction in (semiclassical) scattering theory. As references I shall use:
Dimassi/Sjostrand: Spectral Asymptotics in the Semi-Classical Limit , Cambridge University Press
Hörmander: Analysis of linear partial differential operators, vol.1,3,4, Springer
Derezinski/Gerard: Scattering Theory of Classical and Quantum N-Particle Systems, Springer
- Kursleiter*in: Prof. Dr. Markus Klein