Microlocal analysis and evolution equations

Abstract

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.

Corrects an error in statement of Theorem 9.2 kindly pointed out by Amir Vig

Cited by in corpus (4)

• Diffractive Theorems for the Wave Equation with Inverse Square Potential
• Some global aspects of linear wave equations
• Factorization of second-order strictly hyperbolic operators with logarithmic slow scale coefficients and generalized microlocal approximations
• Factorization of Second-order strictly hyperbolic operators with non-smooth coefficients and microlocal diagonalization