Seminars & Colloquia Calendar
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.