Biharmonic functions on Schrödinger networks

DOI10.1007/s12215-023-00979-0OpenAlexW4389676020MaRDI QIDQ6124480

Ibtesam O. Bajunaid

Publication date: 27 March 2024

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-023-00979-0

zbMATH Keywords

discrete Schrödinger equationinfinite graphsbiharmonic functions

Mathematics Subject Classification ID

Discrete potential theory (31C20)

Cites Work

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• Biharmonic extensions on trees without positive potentials
• Biharmonic Green functions on homogeneous trees
• Axiomatique des fonctions biharmoniques. I
• Axiomatique des fonctions biharmoniques. II
• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
• Espaces biharmoniques et couplage de processus de Markov
• Biharmonic extensions in Riemannian manifolds
• Riesz decompositions for Schrödinger operators on graphs
• Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees
• Schrödinger networks and their Cartesian products
• Infinite Schrödinger networks
• A perturbed averaging operator on finite graphs

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