The obstacle Problem for Quasilinear Stochastic PDEs: Analytical approach

Mathematics – Probability

Scientific paper

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32 pages

Scientific paper

We prove existence and uniqueness of the solution of quasilinear stochastic PDEs with obstacle. Our method is based on analytical technics coming from the parabolic potential theory. The solution is expressed as pair (u, \nu) where u is a predictable continuous process which takes values in a proper Sobolev space and \nu is a random regular measure satisfying minimal Skohorod condition.

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