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A class of stochastic differential equations with pathwise unique solutions

B. Rajeev () and K. Suresh Kumar ()
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B. Rajeev: Indian Statistical Institute
K. Suresh Kumar: Indian Institute of Technology

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 2, 343-355

Abstract: Abstract We propose a new method viz., using stochastic partial differential equations to study the pathwise uniqueness of stochastic (ordinary) differential equations. We prove the existence and pathwise uniqueness of a class of stochastic differential equations with coefficients in suitable Hermite-Sobolev class using our approach.

Keywords: Stochastic differential equation; stochastic partial differential equation; pathwise uniqueness; Hermite-Sobolev functions (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0191-6

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