LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE 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 02, 1-9

Abstract: This paper is devoted to the study of the behaviors of the solution to Fujita-type equations on finite graphs. Under certain conditions given by absorption term of the equations, we prove respectively local existence and blow-up results of solutions to Fujita-type equations on finite graphs. Our results contain some previous results as special cases. Finally, we provide some numerical experiments to illustrate the applicability of the obtained results.

Keywords: Local Existence; Blow-Up; Fujita-Type Equations; Absorption Term; Finite Graphs (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400539

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