A study of backward stochastic differential equation on a Riemannian manifold
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Publication:2042810
DOI10.1214/21-EJP649zbMath1476.58035arXiv2010.02465OpenAlexW3175344511WikidataQ115240776 ScholiaQ115240776MaRDI QIDQ2042810
Publication date: 21 July 2021
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.02465
Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on manifolds (35R01)
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Cites Work
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- Probabilistic representation of weak solutions of partial differential equations with polynomial growth coefficients
- Stochastic geodesics and forward-backward stochastic differential equations on Lie groups
- Lecture notes on mean curvature flow
- Adapted solution of a backward stochastic differential equation
- A stochastic approach to a priori estimates and Liouville theorems for harmonic maps
- Martingales on manifolds with time-dependent connection
- Quadratic BSDEs with convex generators and unbounded terminal conditions
- Sobolev solution for semilinear PDE with obstacle under monotonicity condition
- On the evolution of harmonic maps in higher dimensions
- Existence and partial regularity results for the heat flow for harmonic maps
- Martingales on Riemannian manifolds with prescribed limit
- Stochastic calculus in manifolds. With an appendix by P.A. Meyer
- Probability, convexity, and harmonic maps. II: Smoothness via probabilistic gradient inequalities
- A stability approach for solving multidimensional quadratic BSDEs
- Multidimensional Markovian FBSDEs with super-quadratic growth
- A class of globally solvable Markovian quadratic BSDE systems and applications
- On a characterization of the Sobolev spaces over an abstract Wiener space
- Backward stochastic differential equations and partial differential equations with quadratic growth.
- Constructing gamma-martingales with prescribed limit, using backwards SDE
- Brownian motion and the formation of singularities in the heat flow for harmonic maps
- Stationary solutions of SPDEs and infinite horizon BDSDEs with non-Lipschitz coefficients
- BSDE with quadratic growth and unbounded terminal value
- Solvability of backward stochastic differential equations with quadratic growth
- Backward stochastic differential equations on manifolds. II
- The Malliavin Calculus and Related Topics
- Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence
- Linear Quadratic Optimal Stochastic Control with Random Coefficients
- A harnack inequality for parabolic differential equations
- Harmonic Mappings of Riemannian Manifolds
- Weak solutions for SPDE's and backward doubly stochastic differential equations
- Multi-dimensional backward stochastic differential equations of diagonally quadratic generators
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