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On semimartingale local time inequalities and applications in SDEs

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 Added by Siham Bouhadou
 Publication date 2011
  fields
and research's language is English




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Using the balayage formula, we prove an inequality between the measures associated to local times of semimartingales. Our result extends the comparison theorem of local times of Ouknine $(1988)$, which is useful in the study of stochastic differential equations. The inequality presented in this paper covers the discontinuous case. Moreover, we study the pathwise uniqueness of some stochastic differential equations involving local time of unknown process.



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