Transience and non-explosion of certain stochastic Newtonian systems.
Kolokol'tsov, V.N., Schilling, R.L., Tyukov, A.E. (2002)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Double-barriers-reflected BSDEs with jumps and viscosity solutions of parabolic integrodifferential PDEs.”
Transience and non-explosion of certain stochastic Newtonian systems.
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We consider a system of fully coupled forward-backward stochastic differential equations. First we generalize the results of Pardoux-Tang [7] concerning the regularity of the solutions with respect to initial conditions. Then, we prove that in some particular cases this system leads to a probabilistic representation of solutions of a second-order PDE whose second order coefficients depend on the gradient of the solution. We then give some examples in dimension 1 and dimension 2 for...
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