6533b82efe1ef96bd1292796

RESEARCH PRODUCT

Heat semi-group and generalized flows on complete Riemannian manifolds

Huaiqian LiHuaiqian LiDejun LuoShizan Fang

subject

Mathematics(all)Group (mathematics)General Mathematics010102 general mathematicsMathematical analysisRiemannian geometry01 natural sciences010104 statistics & probabilitysymbols.namesakeElliptic operatorBundleRicci-flat manifoldsymbolsVector fieldOrthonormal basis0101 mathematicsBrownian motionMathematics

description

Abstract We will use the heat semi-group to regularize functions and vector fields on Riemannian manifolds in order to develop Di Perna–Lions theory in this setting. Malliavinʼs point of view of the bundle of orthonormal frames on Brownian motions will play a fundamental role. As a byproduct we will construct diffusion processes associated to an elliptic operator with singular drift.

yearjournalcountryeditionlanguage
2011-09-01Bulletin des Sciences Mathématiques
https://doi.org/10.1016/j.bulsci.2011.05.002