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SPECTRAL APPROXIMATION ON METRIC GRAPHS, ON MANIFOLDS, AND FOR SYSTEMS OF DIFFERENTIAL EQUATIONS

Lead Research Organisation: CARDIFF UNIVERSITY
Department Name: Sch of Mathematics

Abstract

This project will apply techniques from abstract operator theory, including numerical ranges, operator pencils and analytic operator-valued functions, to study the effects of operator compression on the spectra of various models, including differential equations on graphs and singular manifolds

Publications

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Stepanenko A (2021) Bounds for Schrödinger Operators on the Half-Line Perturbed by Dissipative Barriers in Integral Equations and Operator Theory

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Stepanenko A (2020) Bounds for Schrödinger operators on the half-line perturbed by dissipative barriers

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Stepanenko A (2021) Spectral inclusion and pollution for a class of dissipative perturbations in Journal of Mathematical Physics

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509449/1 30/09/2016 29/09/2021
2106294 Studentship EP/N509449/1 30/09/2018 30/03/2022 Alexei Stepanenko
EP/R513003/1 30/09/2018 29/09/2023
2106294 Studentship EP/R513003/1 30/09/2018 30/03/2022 Alexei Stepanenko