Taylor series for resolvents of operators on graphs with small edges

DOI10.1134/S008154382203004XzbMath1505.35343OpenAlexW4312825899MaRDI QIDQ2095485

L. I. Gazizova, Denis I. Borisov

Publication date: 17 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154382203004x

zbMATH Keywords

resolventTaylor seriesanalyticityelliptic operatormatching of asymptotic expansionssmall edge

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Series solutions to PDEs (35C10) Linear boundary value problems for ordinary differential equations (34B05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (1)

Resolvent of a Schrödinger operator on a model graph with small loops

Cites Work

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• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
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• Perturbation of threshold of the essential spectrum of the Schrödinger operator on the simplest graph with a small edge
• Scale invariant effective Hamiltonians for a graph with a small compact core
• Approximation of a general singular vertex coupling in quantum graphs
• Homogenization of elasticity problems on singular structures

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