Heat semi-group and generalized flows on complete Riemannian manifolds

DOI10.1016/j.bulsci.2011.05.002zbMath1236.58038OpenAlexW2048381669WikidataQ115359977 ScholiaQ115359977MaRDI QIDQ645938

Shizan Fang, Huai-Qian Li, De Jun Luo

Publication date: 11 November 2011

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.05.002

zbMATH Keywords

Brownian motion on Riemannian manifoldsnon smooth vector fields

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (11)

Shift Harnack inequality and integration by parts formula for semilinear stochastic partial differential equations ⋮ The Itô SDEs and Fokker–Planck equations with Osgood and Sobolev coefficients ⋮ Hydrodynamics and Stochastic Differential Equation with Sobolev Coefficients ⋮ Well-posedness of stochastic continuity equations on Riemannian manifolds ⋮ Integration by parts formula and shift Harnack inequality for stochastic equations ⋮ Renormalization of stochastic continuity equations on Riemannian manifolds ⋮ Constantin and Iyer's representation formula for the Navier-Stokes equations on manifolds ⋮ Stochastic Lagrangian flows on the group of volume-preserving homeomorphisms of the spheres ⋮ Derivative formulas and applications for degenerate stochastic differential equations with fractional noises ⋮ Integration by Parts Formula and Applications for SDEs Driven by Fractional Brownian Motions ⋮ Stochastic Volterra equations driven by fractional Brownian motion

Cites Work

• Unnamed Item
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• Transport equation and Cauchy problem for BV vector fields
• Differential inequalities on complete Riemannian manifolds and applications
• Large deviations and the Malliavin calculus
• Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature
• Ordinary differential equations, transport theory and Sobolev spaces
• Formules de la moyenne, calcul de perturbations et théoremes d'annulation pour les formes harmoniques
• Mécanique aléatoire
• A Cameron-Martin type quasi-invariance theorem for Brownian motion on a compact Riemannian manifold
• Stochastic analysis on the path space of a Riemannian manifold. I: Markovian stochastic calculus
• Formulae for the derivatives of heat semigroups
• Strong \(p\)-completeness of stochastic differential equations and the existence of smooth flows on noncompact manifolds
• Integration by parts for heat kernel measures revisited
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• On the geometry of orthonormal frame bundles
• Multiphase averaging for generalized flows on manifolds
• Heat equation derivative formulas for vector bundles

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