دانلود کتاب Evolution Equations: Long Time Behavior and Control

This volume constitutes the proceedings of the summer school MIS 2015,
“Mathematics In Savoie 2015,” whose theme was: “Evolution Equations:
long time behavior and control.”
This summer school was held at the University Savoie Mont Blanc,
Chambéry in the period June 15–18, 2015 (see http://lama.univ-savoie.fr/
MIS2015 for details). It was organized by Kaïs Ammari, UR Analysis and
Control of PDE, University of Monastir, Tunisia, and Stéphane Gerbi,
Laboratoire de Mathématiques, University Savoie Mont Blanc, France.
The summer school consisted of two mini-courses in the morning while
the afternoons were devoted to various contributions on the theme.
The 䱌rst mini-course was held by Farid Ammar-Khodja, University of
Franche-Comté, France. The topic was: “Controllability of parabolic sys-
tems: the moment method.” This recent point of view on the controllability
of parabolic systems permits to overview the moment method for parabolic
equations. This course constitutes the 䱌rst part of this volume.
The second part of this volume is devoted to the second mini-course
which was held by Emmanuel Trélat, UPMC, Paris. The topic was
“Stabilization of semilinear PDEs, and uniform decay under discretiza-
tion.” This course was devoted to the numerical stabilization and control
of partial differential equations and more speci䱌cally it addresses the prob-
lem of the construction of numerical feedback control that will preserve the
theoretical rate of decay.