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Geometric Analysis and Partial Differential Equations Seminar

September 3, 2013 @ 10:30 am - 11:30 pm

Geometric Analysis and Partial Differential Equations Seminar Series at UOW
Speaker

Prof. Jerome Vetois (Nice Sophia Antipolis University)

Title

Instability of the Yamabe Equation under linear perturbations of the potential

Abstract

In this talk, I will present a joint work with P. Esposito and A. Pistoia on the instability of the set of solutions of the Yamabe Equation. We prove that a linear perturbation of the potential can generate the existence of blowing-up families of solutions. I will also present a joint work with F. Robert on the existence of blowing-up families of solutions which admit a non-isolated blow-up point. These results complete previous stability results and allow to have a sharp picture of the stability/instability of scalar curvature type equations on compact manifolds.

Details

Date:
September 3, 2013
Time:
10:30 am - 11:30 pm
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Venue

Building 39C Room 174
University of Wollongong
Wollongong, 2500
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