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Nonlinear Analysis

Continuity of nonlinear eigenvalues in CD(K,infty) spaces with respect to measured Gromov-Hausdorff convergence

Luigi Ambrosio, Scola Normale Superiore, Pisa, Italy

Location:  HILL 705
Date & time: Tuesday, 14 November 2017 at 1:40PM - 2:40PM

Abstract:  I will describe how, in the nonlinear setting of  CD(K,infty) spaces, the stability of the Krasnoselskii spectrum of the Laplace operator -Delta holds under measured Gromov-Hausdorff convergence.   Additionally, every element lambda in the Krasnoselskii spectrum has indeed an eigenvalue, namely there exists a nontrivial u satisfying the (nonlinear) eigenvalue equation - Delta u = lambda u.

Joint work with Shouhei Honda and Jacob Portegies, ArXiv:1706.08368.

This is the second lecture in the D'Atri Memorial Lectures. Light refreshment will be served at 1:15pm in Room 703.

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Department of Mathematics

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