Hun O, Mun-Chol Kim, Chol-Gyu Pak
Published 2019-03-23Version 1
In a new viewpoint, we continue to study a backward stochastic differential equation (BSDE for short) with {Lexp(\mu sqrt(2log(1+L)))}-integrable terminal value which was recently introduced together with the proof of the existence part in [Hu and Tang, 2018]. Through Girsanov change, we associate a solution to this equation with an L1-solution to a certain BSDE with integrable parameters. Using this technique, we show that the One-Sided Osgood condition (extended monotonicity) on generator rather than Lipschtz continuity is sufficient to guarantee the uniqueness of the solution. Next, we show the comparison principle of solutions under both strict monotonicity and Lipschtz conditions. We also study the stability of the dynamics under One-Sided Osgood condition.
Uniqueness of percolation on products with Z
Uniqueness in Law for the Allen-Cahn SPDE via Change of Measure
Uniqueness of solution to scalar BSDEs with $L\exp{\left(μ \sqrt{2\log{(1+L)}}\,\right)}$-integrable terminal values
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