• Title/Summary/Keyword: mild solution of SPDE

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LARGE DEVIATION PRINCIPLE FOR SOLUTIONS TO SDE DRIVEN BY MARTINGALE MEASURE

  • Cho, Nhan-Sook
    • Communications of the Korean Mathematical Society
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    • v.21 no.3
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    • pp.543-558
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    • 2006
  • We consider a type of large deviation Principle(LDP) using Freidlin-Wentzell exponential estimates for the solutions to perturbed stochastic differential equations(SDEs) driven by Martingale measure(Gaussian noise). We are using exponential tail estimates and exit probability of a diffusion process. Referring to Freidlin-Wentzell inequality, we want to show another approach to get LDP for the solutions to SDEs.