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Sobolev Spaces and Variational Method Applied to Elliptic Partial Differential Equations
(2010-12-06)
Variational methods have proved to be very important in the study of optimal shape, time,
velocity, volume or energy. Laws existing in mechanics, physics, astronomy, economics and
other fields of natural sciences and ...
Floquet Theory and Applications
(2010-12-07)
This project is at the interface between Analysis, Natural Sciences and Modeling Theory. It
deals with Floquet Theory (also re ered to as Floquet-Lyapunov theory) which is the main
tool of the theory of periodic ordinary ...
The Mountain Pass Theorem and Applications
(2010-12-06)
This project lies at the interface between Nonlinear Functional Anal-
ysis,
unconstrained Optimization and Critical point theory. It concerns
mainly the Ambrosetti-Rabinowitz's Mountain Pass Theorem which
is a min-max ...
Controllability And Stabilizability Of Linear Systems In Hilbert Spaces
(2010-12-06)
Questions about controllability and stability arise in almost every dynamical system problem.
As a result, controllability and stability are one of the most extensively studied subjects in
system theory. A departure point ...
Isoperimetric Variational Techniques and Applications
(2010-12-06)
This project is at the interface between Nonlinear Functional Analysis, Con-
vex Analysis and Di erential Equations. It concerns one of the most powerful
methods often used to solve optimization problems with constraints; ...