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Variational theory and spectral geometry of quantum graphs

The past decade has seen a pronounced growth of interest in differential operators defined on metric graphs, commonly known as quantum graphs. They offer the technical simplicity of one-dimensional objects, while often displaying complex behaviour akin to higher-dimensional ones, and are thus particularly useful as toy models. Starting with a brief introduction to the variational analysis and spectral theory of differential operators on graphs, we will present some recent results on eigenvalue estimates for operators of Laplacian and p-Laplacian type obtainable by variational means.

This is partly based on joint work with Gregory Berkolaiko (Texas A&M), Pavel Kurasov (Stockholm) and Delio Mugnolo (Hagen).

Date:  2018-12-14
Start Time:   14:00
Speaker:  James Kennedy (Univ. Lisboa)
Institution:  Universidade de Lisboa
Place:  Sala 5.5
Research Groups: -Analysis
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