An Introduction to Microlocal Analysis
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Thorough treatment of the core of microlocal analysis Provides discussion of the connection between quantum mechanics and classical mechanics First text in microlocal analysis to treat the dynamical side
Autor*in
Peter Hintz
Themen in »An Introduction to Microlocal Analysis«
microlocal analysis Schwartz functions Schwartz kernel pseudodifferential operators quantization Sobolev spaces microlocalization hyperbolic evolution equations linear PDEs Partial Differential Equations wave front set graduate text microlocal analysis ellipticity differential operators elliptic parametrix