摘要
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 condition 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).
作者
吴艺婷
Yiting WU(Department of Mathematics,China Jiliang University,Hangzhou,310018,China)
基金
supported by the Zhejiang Provincial Natural Science Foundation of China(LY21A010016)
the National Natural Science Foundation of China(11901550).
