6533b870fe1ef96bd12cfce5

RESEARCH PRODUCT

Isotropic stochastic flow of homeomorphisms on Sd for the critical Sobolev exponent

Shizan FangTusheng Zhang

subject

Sobolev exponentKolmogoroff modification theoremApplied MathematicsGeneral MathematicsEigenvectorIsotropyMathematical analysisSpherical representationHomeomorphismNon-Lipschitzian conditionSobolev spacesymbols.namesakeLaplace operatorMathematics::ProbabilityPoincaré conjecturesymbolsExponentIsotropic flowsLaplace operatorCritical exponentBrownian motionMathematics

description

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.

yearjournalcountryeditionlanguage
2006-04-01Journal de Mathématiques Pures et Appliquées
https://doi.org/10.1016/j.matpur.2005.10.012