Microlocal analysis and evolution equations

Mathematics – Analysis of PDEs

Scientific paper

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Numerous minor corrections to previous version

Scientific paper

Lecture notes from 2008 CMI/ETH Summer School on Evolution Equations. These
notes are an informal introduction to the applications of microlocal methods in
the study of linear evolution equations and spectral theory. Calculi of
pseudodifferential operators and Fourier integral operators are discussed and
axiomatized, but not constructed: the focus is on how to apply these tools.

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