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arXiv · 2107.11890

Row finite systems of stochastic differential equations with dissipative drift

Georgy Chargaziya
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Abstract

Motivated by studies of stochastic systems describing non-equilibrium dynamics of (real-valued) spins of an infinite particle system in $\mathbb{R}^n$ we consider a row-finite system of stochastic differential equations with dissipative drift. The existence and uniqueness of infinite time solutions is proved via finite volume approximation and a version of the Ovsjannikov method.

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Georgy Chargaziya. 2021-07-25. Row finite systems of stochastic differential equations with dissipative drift. https://arxiv.org/abs/2107.11890

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