Degenerate evolutionary PDE and applications to stability of geometric singularities

Degenerate evolutionary PDE and applications to stability of geometric singularities

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Gregorios Fournodavlos , University of Toronto
Fine Hall 110

We are going to study a family of degenerate parabolic and hyperbolic differential equations which model stability problems of singularities encountered in geometric evolutionary PDE such as the Ricci flow and the Einstein equations. We will discuss the issue of local existence for these types of equations and time permitting understand the main features of each geometric problem separately.