From Hardy to Rellich inequalities and Agmon estimates on graphs

Matthias Keller (U of Potsdam)

Nov 08. 2022, 11:00 — 11:30

We discuss how Hardy inequalities can be obtained and optimality can be shown. We illustrate this by various examples which also show a disparity to the continuum setting. Finally, we discuss how Hardy inequalities can be used to derive Rellich inequalities. Such inequalities are essential to estimate the decay of eigenfunctions in the spirit of Agmon estimates.
(This includes joint work with F. Fischer, M. Lemm, M. Nietschmann, F. Pogorzelski and Y. Pinchover)

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory of Differential Operators in Quantum Theory (Workshop)
Jussi Behrndt (TU Graz)
Fritz Gesztesy (Baylor U, Waco)
Ari Laptev (Imperial College London)
Christiane Tretter (U Bern)