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- W2610086985 abstract "Let $G=(V,E)$ be a locally finite connected weighted graph, $Delta$ be the usual graph Laplacian. In this paper, we study the blow-up problems for the nonlinear parabolic equation $u_t=Delta u + f(u)$ on $G$. The blow-up phenomenons of the equation are discussed in terms of two cases: (i) an initial condition is given; (ii) a Dirichlet boundary condition is given. We prove that if $f$ satisfies appropriate conditions, then the solution of the equation blows up in a finite time." @default.
- W2610086985 created "2017-05-05" @default.
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- W2610086985 date "2017-04-19" @default.
- W2610086985 modified "2023-10-17" @default.
- W2610086985 title "Blow-up problems for nonlinear parabolic equations on locally finite graphs" @default.
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- W2610086985 doi "https://doi.org/10.48550/arxiv.1704.05702" @default.
- W2610086985 hasPublicationYear "2017" @default.
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