BLOW-UP PROBLEMS FOR FUJITA-TYPE PARABOLIC SYSTEM INVOLVING TIME-DEPENDENT COEFFICIENTS ON GRAPHS

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

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-9

Abstract: In this paper, we deal with the blow-up problems for Fujita-type parabolic system involving time-dependent coefficients on graphs. Under appropriate conditions, we prove that the nonnegative solution of the parabolic system blows up in a finite time on finite graphs and locally finite graphs, respectively. The results obtained extend some previous results of [Y. Lin and Y. Wu, Blow-up problems for nonlinear parabolic equations on locally finite graphs, Acta Math. Sci. Ser. B 38(3) (2018) 843–856; Y. Wu, Local existence and blow-up of solutions to Fujita-type equations involving general absorption term on finite graphs, Fractals 30(2) (2022) 2240053].

Keywords: Blow-Up; Fujita-Type Parabolic System; Graphs; Heat Kernel (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400443

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