Stochastic Heat Equations with Values in a Manifold via Dirichlet Forms

DOI10.1137/18M1211076zbMath1445.60048arXiv1711.09570MaRDI QIDQ5110290

Bo Wu, Xiang Chan Zhu, Michael Roeckner, Rong-Chan Zhu

Publication date: 18 May 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09570

zbMATH Keywords

Ricci curvaturestochastic heat equationfunctional inequalityquasi-regular Dirichlet form

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic calculus of variations and the Malliavin calculus (60H07) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (8)

Large \(N\) limit of the \(O(N)\) linear sigma model via stochastic quantization ⋮ Singular HJB equations with applications to KPZ on the real line ⋮ Large \(N\) limit of the \(O(N)\) linear sigma model in 3D ⋮ A stochastic analysis approach to lattice Yang-Mills at strong coupling ⋮ Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise ⋮ Stochastic heat equations for infinite strings with values in a manifold ⋮ A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric ⋮ Geometric stochastic heat equations

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