Discrete Laplace operator of 3-cochains

DOI10.1142/S1793830921500014zbMath1465.35123MaRDI QIDQ5859518

Azeddine Baalal, Khalid Hatim

Publication date: 16 April 2021

Published in: Discrete Mathematics, Algorithms and Applications (Search for Journal in Brave)

zbMATH Keywords

essential self-adjointnessdiscrete Laplace operator3-simplicial complex

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

• Unnamed Item
• Essential self-adjointness for combinatorial Schrödinger operators. II. Metrically non complete graphs
• Essential self-adjointness of magnetic Schrödinger operators on locally finite graphs
• The discrete Laplacian of a 2-simplicial complex
• The adjacency matrix and the discrete Laplacian acting on forms
• The discrete Laplacian acting on 2-forms and application
• A note on self-adjoint extensions of the Laplacian on weighted graphs
• The essential spectrum of the Laplacian on rapidly branching tessellations
• The problem of deficiency indices for discrete Schrödinger operators on locally finite graphs

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