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TESdE: Thematic on Equations and Systems of differential Equations

Abstract

This project is dedicated to the study of problems involving partial differential equations (PDEs) of elliptic and evolution type, which may include non-local terms. It points questions about the existence and multiplicity and also about qualitative properties, such as symmetry, bifurcation, decay, energy, unique continuation principles, concentration, blow up, and stability of solutions to problems involving second and fourth orders PDEs, as well as second-order systems of PDEs. This project also intersects the areas of functional analysis, differential geometry, ordinary differential equations (ODEs) and numerical simulations for the study of ODEs and PDEs. (AU)

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