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arxiv: 1210.1075 · v3 · pith:XAU2GXYLnew · submitted 2012-10-03 · 🧮 math.PR

A stochastic differential equation with a sticky point

classification 🧮 math.PR
keywords differentialequationholdpointstickystochasticuniquenessweak
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We consider a degenerate stochastic differential equation that has a sticky point in the Markov process sense. We prove that weak existence and weak uniqueness hold, but that pathwise uniqueness does not hold nor does a strong solution exist.

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