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Timeline for Solving SDE's on subsets of $R^n$.

Current License: CC BY-SA 3.0

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Mar 16, 2012 at 17:26 vote accept ShawnD
Mar 16, 2012 at 17:26 comment added ShawnD This is helpful and seems to be the general method people use. A confusing point (for me) was why if you have two different Lipschitz extensions, the solutions agree up until the first exit time of $D$. I believe this can be done in the time homogeneous case (using somewhere the strong Markov property for Brownian motion if I'm not over complicating things) and a time inhomogeneous SDE can be transformed into a time homogeneous one by adding a "time coordinate."
Mar 14, 2012 at 19:25 history answered Stephan Sturm CC BY-SA 3.0