Blow-up phenomenon to the semilinear heat equation for unbounded Laplacians on graphs

Author:

Lin Yong,Liu Shuang,Wu Yiting

Funder

National Nature Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference20 articles.

1. Chung, S.-Y., Choi, M.-J.: A new condition for blow-up solutions to discrete semilinear heat equations on networks. Comput. Math. Appl. 74(12), 2929–2939 (2017)

2. Davies, E.B.: Large deviations for heat kernels on graphs. J. London Math. Soc. 47(1), 65–72 (1993)

3. Folz, M.: Gaussian upper bounds for heat kernels of continuous time simple random walks. Electron. J. Probab. 16(62), 1693–1722 (2011)

4. Fujita, H.: On the blowing up of solutions of the Cauchy problem for $$u_t=\Delta u+u^{1+\alpha }$$, J. Fac. Sci. Univ. Tokyo Sect. A. Math., (2) 13, 109–124 (1966)

5. Frank, R.L., Lenz, D., Wingert, D.: Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory. J. Funct. Anal. 266(8), 4765–4808 (2014)

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