Graduate Texts in Mathematics

Hintz, Peter

Microlocal analysis provides a powerful, versatile, and modular perspective on the analysis of linear partial differential equations. This text, developed from a first-year graduate course, provides an accessible introduction and develops, from first principles, the core notions and results including pseudodifferential operators, wave front sets, and propagation phenomena. The reader is assumed to have some exposure to functional analysis and the theory of smooth manifolds. With detailed proofs, a wealth of exercises of varying levels of difficulty, and connections to contemporary research in general relativity, the book serves as both a comprehensive textbook for graduate students and a useful reference for researchers.

Details

Published by: Springer

Publication Date: 2025-10-07

Format: Hardcover

ISBN-13: 9783031907050

DOI: 10.1007/978-3-031-90706-7

Dimensions: 235cm x155cm

Pages: 373