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Differential Forms and Applications
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
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 Di erential ...
Sobolev Spaces and Linear Elliptic Partial Differential Equations
The cardinal goal to the study of theory of Partial Differential Equations (PDEs) is to insure or find out properties of solutions of PDE that are not directly at- tainable by direct analytical means. Certain function ...
Spectral Theory of Compact Linear Operators and Applications
This Project primarily falls into the field of Linear Functional Analysis and its Applications to Eigenvalue problems. It concerns the study of Compact Lin- ear Operators (i.e., bounded linear operators which map the ...