0000000001180950

AUTHOR

Tusheng Zhang

showing 2 related works from this author

A class of stochastic differential equations with non-Lipschitzian coefficients: pathwise uniqueness and no explosion

2003

Abstract A new result for the pathwise uniqueness of solutions of stochastic differential equations with non-Lipschitzian coefficients is established. Furthermore, we prove that the solution has no explosion under the growth ξlogξ. To cite this article: S. Fang, T. Zhang, C. R. Acad. Sci. Paris, Ser. I 337 (2003).

Stochastic differential equationClass (set theory)Probability theoryContinuous functionDifferential equationMathematical analysisApplied mathematicsGeneral MedicineUniquenessMathematicsComptes Rendus Mathematique
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Isotropic stochastic flow of homeomorphisms on Sd for the critical Sobolev exponent

2006

Abstract In this work, we shall deal with the critical Sobolev isotropic Brownian flows on the sphere S d . Based on previous works by O. Raimond and LeJan and Raimond (see [O. Raimond, Ann. Inst. H. Poincare 35 (1999) 313–354] and [Y. LeJan, O. Raimond, Ann. of Prob. 30 (2002) 826–873], we prove that the associated flows are flows of homeomorphisms.

Sobolev exponentKolmogoroff modification theoremApplied MathematicsGeneral MathematicsEigenvectorIsotropyMathematical analysisSpherical representationHomeomorphismNon-Lipschitzian conditionSobolev spacesymbols.namesakeLaplace operatorMathematics::ProbabilityPoincaré conjecturesymbolsExponentIsotropic flowsLaplace operatorCritical exponentBrownian motionMathematicsJournal de Mathématiques Pures et Appliquées
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