We are concerned with semilinear parabolic equations, with a time-dependent source term of the form h(t)uq with q>1, posed on an infinite graph. We assume that the bottom of the L2-spectrum of the Laplacian on the graph, denoted by λ1(G), is positive. In dependence of q, h(t) and λ1(G), we show global in time existence or finite time blow-up of solutions.
On a semilinear parabolic equation with time-dependent source term on infinite graphs
Punzo F.;
2026-01-01
Abstract
We are concerned with semilinear parabolic equations, with a time-dependent source term of the form h(t)uq with q>1, posed on an infinite graph. We assume that the bottom of the L2-spectrum of the Laplacian on the graph, denoted by λ1(G), is positive. In dependence of q, h(t) and λ1(G), we show global in time existence or finite time blow-up of solutions.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
