Semiclassical analysis / Maciej Zworski
Type de document : MonographieCollection : Graduate studies in mathematics, 138Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, cop. 2012Description : 1 vol. (XII-431 p.) ; 26 cmISBN: 9780821883204.ISSN: 1065-7339.Bibliographie : Bibliogr. p. 421-426. Index.Sujet MSC : 58-02, Research exposition (monographs, survey articles) pertaining to global analysis58J40, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Pseudodifferential and Fourier integral operators on manifolds
58J50, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Spectral problems; spectral geometry; scattering theory
58J51, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity
35S05, PDEs - Pseudodifferential operators and other generalizations of partial differential operators, Pseudodifferential operators as generalizations of partial differential operators
35S30, PDEs - Pseudodifferential operators and other generalizations of partial differential operators, Fourier integral operators applied to PDEsEn-ligne : Zentralblatt | MathSciNet | AMS
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 58 ZWO (Browse shelf(Opens below)) | Available | 03491-01 |
Bibliogr. p. 421-426. Index
Semiclassical analysis provides PDE techniques based on the classical-quantum (particle-wave) correspondence. These techniques include such well-known tools as geometric optics and the Wentzel-Kramers-Brillouin approximation. Examples of problems studied in this subject are high energy eigenvalue asymptotics and effective dynamics for solutions of evolution equations. From the mathematical point of view, semiclassical analysis is a branch of microlocal analysis which, broadly speaking, applies harmonic analysis and symplectic geometry to the study of linear and nonlinear PDE. The book is intended to be a graduate level text introducing readers to semiclassical and microlocal methods in PDE. It is augmented in later chapters with many specialized advanced topics which provide a link to current research literature. (Source : AMS)
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