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Spectral Theory of Compact Linear Operators and Applications
(2011-12-15)
This Project primarily falls into the field of Linear Functional Analysis and its Applications to Eigenvalue problems. It concerns the study of Compact Linear Operators (i.e., bounded linear operators which map the closed ...
Differential Forms and Applications
(2011-12-15)
This project deals mainly with Differential Forms on smooth Riemannian manifolds and their applications through the properties of their classical Differential and Integral Operators. The calculus of Differential Forms ...
Evolution Equations and Applications
(2011-12-17)
This project concerns Evolution Equations in Banach spaces and lies at the interface between Functional Analysis, Dynamical Systems, Modeling Theory and Natural Sciences. Evolution Equations include Partial Differential ...
Monotone Operators and Applications
(2011-12)
This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role
in many branches of Mathematics such as Convex Analysis, Optimization Theory, ...