Por Jean-Baptiste Casteras (DM Ciências ULisboa e CMAFcIO).

Partial differential equations (PDEs) are ubiquitous mathematical objects to model real-world phenomena. They are the keystone of the modern understanding of sound and heat propagation, population dynamics, fluid dynamics, general relativity and quantum mechanics among other fields. They also arise from many purely mathematical subjects such as differential geometry or calculus of variations. In this talk, I will focus on the Schrödinger equation. This is one of the basic examples of a class of PDEs called dispersive. I will try to give a gentle introduction on this very vast topic.

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