Couverture : Semiclassical Analysis

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Semiclassical Analysis

Maciej Zworski

Résumé

This book is an excellent, comprehensive introduction to semiclassical analysis. I believe it will become a standard reference for the subject. --Alejandro Uribe, University of Michigan 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.

Détails de l'édition

ISBN-13
9780821883204
ISBN-10
0821883208
EAN
9780821883204
Éditeur
American mathematical society (Providence)
Date de publication
1 janvier 2012
Langue
en
Pages
448
Dimensions
27 cm
Provenance des données
  • dimensions BnF Catalogue général · 23 juillet 2026
  • language Google Books · 8 août 2026
  • page_count Google Books · 8 août 2026
  • publication_date BnF Catalogue général · 23 juillet 2026
  • summary Google Books · 8 août 2026
  • title Google Books · 8 août 2026