Calculus of Variations and Geometric Measure Theory
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A Yamabe type scalar curvature ow and the art of pseudo-gradients

Martin Mayer

created by malchiodi on 19 Jun 2017

21 jun 2017 -- 17:00   [open in google calendar]

Scuola Normale Superiore, Aula Mancini

Abstract.

We study a Yamabe type scalar curvature ow and describe its associated shadow, i.e. the time evolution of those finitely many parameters, that are responsible for a possible lack of convergence. Under a slight violation of an assumption, that guarantees convergence, we find non compact ow lines. We then will discuss on how to slightly modify the flow by a pseudo-gradient in order to remove the latter non-compactness.

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