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Semi-classical measures and defect measures. (Mesures semi-classiques et mesures de défaut.) (French) Zbl 0954.35102

Séminaire Bourbaki. Volume 1996/97. Exposés 820-834. Paris: Société Mathématique de France, Astérisque. 245, 167-195, Exp. No. 826 (1997).
This paper concerns the semi-classical and the defect measures. The construction and the most important properties of these measures are presented. These properties are applied to the control of partial differential equations and to nonlinear geometric optics.
For the entire collection see [Zbl 0910.00034].

MSC:

35B27 Homogenization in context of PDEs; PDEs in media with periodic structure
35A27 Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs
35L05 Wave equation
46N20 Applications of functional analysis to differential and integral equations
93B05 Controllability
78A05 Geometric optics
28E99 Miscellaneous topics in measure theory
35L20 Initial-boundary value problems for second-order hyperbolic equations
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