BLOW-UP PROBLEMS FOR GENERALIZED FUJITA-TYPE EQUATIONS ON GRAPHS

Yiting Wu ()
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Yiting Wu: Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 08, 1-8

Abstract: In this paper, we study the blow-up problem for Fujita-type equations with a general absorption term f on finite graphs and locally finite graphs, respectively. We prove that if f satisfies appropriate conditions, then the solutions of the equation blow up in finite time. The obtained results are generalization of those given by the author in previous papers. At the end of the paper, we provide some numerical experiments to illustrate the applicability of the obtained results.

Keywords: Blow-Up; Fujita-Type Equations; Heat Kernels; Finite Graphs; Locally Finite Graphs (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22402022

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