Microlocal Methods in Mathematical Physics and Global Analysis

Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.

Overview of current research in microlocal analysis Extended abstracts allow quick communication of current research without many technicalities, also for non-experts Pointers to complete papers and background literature help to get deeper into the subject? Includes supplementary material: sn.pub/extras

Autorentext
Prof. Dr. Daniel Grieser lehrt und forscht am Institut für Mathematik der Carl von Ossietzky Universität Oldenburg.

Klappentext
Microlocal analysis is a mathematical field that was invented for the detailed investigation of problems from partial differential equations in the mid-20th century and that incorporated and elaborated on many ideas that had originated in physics. Since then, it has grown to a powerful machine used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. This book collects extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from June 14th to 18th, 2011.

Inhalt
Preface.- Semiclassical and adiabatic limits.- Singular spaces.- Spectral and scattering theory.- Wave propagation and topological applications.