Microlocal Analysis for Differential Operators : An Introduction - Alain  Grigis

Microlocal Analysis for Differential Operators

An Introduction

By: Alain Grigis, Johannes Sjostrand

Paperback | 2 May 1994

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This short introduction to microlocal analysis is presented, in the spirit of Hormander, in the classical framework of partial differential equations. This theory has important applications in areas such as harmonic and complex analysis, and also in theoretical physics. Here Grigis and Sjostrand emphasize the basic tools, especially the method of stationary phase, and they discuss wavefront sets, elliptic operators, local symplectic geometry, and WKB-constructions.
Industry Reviews
"...an excellent introduction to microlocal analysis for graduate students and for mathematicians who wish to understand the basic ideas of calculus with classical pseudodifferential and Fourier integral operators...The exposition yields in an elegant form almost all basic tools related to microlocal analysis and it will be very helpful for any graduate student dealing with partial differential equations and mathematical physics." Vesselin M. Petkov, Mathematical Reviews

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