Sheaf theory and regularity. Application to local and microlocal analysis

• Autorzy: Jean-André Marti
• Języki publikacji: EN

Abstrakty

EN

A review of some methods in sheaf theory is presented to make precise a general concept of regularity in algebras or spaces of generalized functions. This leads to the local analysis of the sections of sheaves or presheaves under consideration and then to microlocal analysis and microlocal asymptotic analysis.

Kategorie tematyczne

• 46F30: Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
• 35A18: Wave front sets
• 35A27: Microlocal methods; methods of sheaf theory and homological algebra in PDE

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 211-228

Daty

wydano

2010

Twórcy

autor

Jean-André Marti

• Equipe Analyse Algébrique Non Linéaire, Laboratoire CEREGMIA, Université des Antilles et de la Guyane, 97275 Schoelcher Cedex, Martinique (France)

Identyfikatory

DOI

10.4064/bc88-0-17