Analysis of the physical Laplacian and the heat flow on a locally finite graph

作者：Weber Andreas^*

来源：Journal of Mathematical Analysis and Applications, 2010, 370(1): 146-158.

DOI：10.1016/j.jmaa.2010.04.044

• Laplacian on a locally finite graph
• Essential self-adjointness
• Maximum principle
• Heat flow on a locally finite graph
• Stochastic completeness

We study the physical Laplacian and the corresponding heat flow on an infinite, locally finite graph with possibly unbounded valence.

• 出版日期2010-10-1