Lower and upper bounds for the explosion times of a system of semilinear SPDEs
Lower and upper bounds for the explosion times of a system of semilinear SPDEs
In this paper, we obtain lower and upper bounds for the blow-up times to a system of semilinear stochastic partial differential equations given by du=[(Δ+V)u(t,x)+u(t,x)+u(t,x)]dt+ku(t,x)dW du=[(Δ+V)u(t,x)+u(t,x)+u(t,x)]dt+ku(t,x)dW where m,n,p,q are constants. Under the assumption that m ≥ n ≥ p ≥ q ≥ 1, the distribution functions of several explosion times …