Non-negative solutions of the heat equation on a graph and eigenvalue bounds

DOI10.1007/s00025-010-0022-8zbMath1217.05158OpenAlexW2107843121MaRDI QIDQ977707

Andreas Weber

Publication date: 23 June 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0022-8

zbMATH Keywords

eigenvalue boundsLaplacian on a locally finite graphnon-negative solutions of the heat equation

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Linear difference operators (47B39)

Related Items

Note on basic features of large time behaviour of heat kernels

Cites Work

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• Heat kernel upper bounds on a complete non-compact manifold
• Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
• Related aspects of positivity in Riemannian geometry
• Uniqueness of Positive Solutions of the Heat Equation
• Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
• Heat kernel and essential spectrum of infinite graphs
• Essential self-adjointness of the graph-Laplacian