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[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.
  • Classification : 35R60, 60H15, 74H35
  • Format : Talk at Waseda University
  • Author(s) :
    • Karthikeyan Shanmugasundaram (Periyar University)