An introduction to microlocal analysis / Peter Hintz

• Autore: Hintz, Peter
• Pubblicazione: Cham, : Springer, 2025
• Descrizione fisica: 1 testo elettronico (xv, 373 p. : ill.)
• Soggetto topico: 35A18 - Wave front sets in context of PDEs [MSC 2020]; 35L05 - Wave equation [MSC 2020]; 35S05 - Pseudodifferential operators as generalizations of partial differential operators [MSC 2020]; 58J47 - Propagation of singularities; initial value problems on manifolds [MSC 2020]
• Soggetto non controllato: Differential Operators; Elliptic Parametrix; Ellipticity; Hyperbolic Evolution Equations; Linear partial differential equations; Lorentzian geometry; Microlocal analysis; Microlocalization; Partial Differential Equations; Pseudodifferential operators; Quantization; Radial Compactification Phase Space; Radial Sets; Schwartz Functions; Semiclassical Pseudodifferential Operators; Semiclassical Radial Point; Sobolev spaces; Wave front set
• Sommario/riassunto: 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. (Dal sito dell'editore)
• Titolo autorizzato: Introduction to microlocal analysis
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00310543
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-3-031-90706-7
• Serie: Graduate texts in mathematics New York [etc.] . -Springer , 1950- ; 304