Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations

DOI10.1016/j.na.2016.03.001zbMath1342.60094arXiv1302.5930OpenAlexW2963627731MaRDI QIDQ298319

Hao Shen, Arnulf Jentzen, E. Weinan

Publication date: 20 June 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5930

zbMATH Keywords

renormalizationOrnstein-Uhlenbeck processesstochastic Ginzburg-Landau equations

Mathematics Subject Classification ID

Diffusion processes (60J60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

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Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations ⋮ On ill-posedness of nonlinear stochastic wave equations driven by rough noise ⋮ Probabilistic local Cauchy theory of the cubic nonlinear wave equation in negative Sobolev spaces ⋮ A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion ⋮ Unnamed Item ⋮ A theory of regularity structures ⋮ On the parabolic and hyperbolic Liouville equations ⋮ On stochastic differential equations driven by the renormalized square of the Gaussian white noise ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ On the two-dimensional hyperbolic stochastic sine-Gordon equation ⋮ A nonlinear Schrödinger equation with fractional noise ⋮ Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus

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