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Analysis Seminar – Yuanzhen Shao, Georgia Southern University
February 2, 2018 @ 3:00 pm - 4:00 pm
Title: Some Applications of Singular Manifold Theory to Applied Mathematics
Abstract: Many applications of applied sciences lead to differential equations with various types of singularities, including singularities of the geometry of the underlying space and singularities of the coefficients of the differential equations.
The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented.
I will illustrate by several examples from applied mathematics how to use this theory to treat different types of singularities via a unified approach.