首页|BLOW-UP CONDITIONS FOR A SEMILINEAR PARABOLIC SYSTEM ON LOCALLY FINITE GRAPHS
BLOW-UP CONDITIONS FOR A SEMILINEAR PARABOLIC SYSTEM ON LOCALLY FINITE GRAPHS
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In this paper,we investigate a blow-up phenomenon for a semilinear parabolic system on locally finite graphs.Under some appropriate assumptions on the curvature con-dition CDE'(n,0),the polynomial volume growth of degree m,the initial values,and the exponents in absorption terms,we prove that every non-negative solution of the semilinear parabolic system blows up in a finite time.Our current work extends the results achieved by Lin and Wu(Calc Var Partial Differ Equ,2017,56:Art 102)and Wu(Rev R Acad Cien Serie A Mat,2021,115:Art 133).
semilinear parabolic system on graphsblow-upheat kernel estimate on graphs
吴艺婷
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Department of Mathematics,China Jiliang University,Hangzhou 310018,China
Zhejiang Provincial Natural Science Foundation of ChinaNational Natural Science Foundation of China
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