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On-diagonal lower estimate of heat kernels for locally finite graphs and its application to the semilinear heat equations.
- Source :
-
Computers & Mathematics with Applications . Aug2018, Vol. 76 Issue 4, p810-817. 8p. - Publication Year :
- 2018
-
Abstract
- In this paper we establish a new on-diagonal lower estimate of heat kernels for connected, weighted, locally finite graphs. The result is then used to deal with the nonexistence of global solutions for a semilinear heat equation on locally finite graphs. Our results provide remarkable improvements to the work that was done recently by Lin and Wu (2017) [8,18]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 76
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 130877463
- Full Text :
- https://doi.org/10.1016/j.camwa.2018.05.021