University of Birmingham > Talks@bham > Analysis Seminar > Spectral inequalities for the Schrödinger operator -Δ_x + V(x) in R^d

Spectral inequalities for the Schrödinger operator -Δ_x + V(x) in R^d

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If you have a question about this talk, please contact Diogo Oliveira E Silva.

In this talk, we will first review some classical results on the so-called “spectral inequalities”, which yield a sharp quantification of the unique continuation of the spectral family associated with the Laplace-Beltrami operator in a compact manifold. In a second part, we will discuss how to obtain the spectral inequalities associated to the Schrodinger operator -Δ_x + V(x), in R^d, in any dimension d≥1, where V=V(x) is a real analytic potential. In particular, we can handle some long-range potentials. This is a joint work with Prof G. Lebeau (Université de Nice-Côte d’Azur, France)

This talk is part of the Analysis Seminar series.

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