Path-by-path uniqueness of multidimensional SDE’s on the plane with nondecreasing coefficients
نویسندگان
چکیده
In this paper we study path-by-path uniqueness for multidimensional stochastic differential equations driven by the Brownian sheet. We assume that drift coefficient is unbounded, verifies a spatial linear growth condition and componentwise nondeacreasing. Our approach consists of showing result bounded nondecreasing using both local time-space representation law iterated logarithm sheets. The desired follows Gronwall type lemma on plane. As product, obtain existence unique strong solution SDEs sheet when non-decreasing satisfies condition.
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2022
ISSN: ['1083-6489']
DOI: https://doi.org/10.1214/22-ejp844