[00579] Explosion times and its bounds for a system of semilinear SPDEs
Session Time & Room : 5D (Aug.25, 15:30-17:10) @G702
Type : Contributed Talk
Abstract : In this paper, we obtain lower and upper bounds for the blow-up times to a system of semilinear stochastic partial differential equations. Under suitable assumptions, the bounds of the explosion times are obtained by using explicit solutions of an associated system of random PDEs and a formula due to Yor. We provide an estimate for the probability of the finite-time blow-up and the impact of the noise on the solution is investigated.
