Well-Posedness of the Second-Order SDEs Describing an N-Particle System Interacting via Coulomb Interaction
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This paper concerns a second-order N interacting stochastic particle system with singular potential for any dimension n ≥ 2. By some estimates of total energy of the system, we prove that there is no collision among particles almost surely in any finite time interval, then the well-posedness of this interacting particle system can be established.
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2004 ◽
Vol 41
(2)
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pp. 570-578
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2011 ◽
Vol 34
(7)
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pp. 841-849
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2017 ◽
Vol 354
(15)
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pp. 6747-6765
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