Regularization by noise and flows of solutions for a stochastic heat equation

DOI10.1214/18-AOP1259zbMath1447.60091arXiv1610.02553MaRDI QIDQ1731887

Leonid Mytnik, O. A. Butkovsky

Publication date: 14 March 2019

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.02553

zbMATH Keywords

stochastic heat equationregularization by noisenon-Lipschitz driftpath-by-path uniquenessstochastic flow of solutions

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (13)

Pathwise vs. path-by-path uniqueness ⋮ Well-posedness of the deterministic transport equation with singular velocity field perturbed along fractional Brownian paths ⋮ The fractional stochastic heat equation driven by time-space white noise ⋮ Regularization by transport noises for 3D MHD equations ⋮ Pathwise regularization of the stochastic heat equation with multiplicative noise through irregular perturbation ⋮ Well‐posedness of stochastic heat equation with distributional drift and skew stochastic heat equation ⋮ Unnamed Item ⋮ Regularization by noise and flows of solutions for a stochastic heat equation ⋮ High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations ⋮ An optimal regularity result for Kolmogorov equations and weak uniqueness for some critical SPDEs ⋮ Approximation of SDEs: a stochastic sewing approach ⋮ Path-by-path uniqueness of multidimensional SDE's on the plane with nondecreasing coefficients ⋮ On Davie’s uniqueness for some degenerate SDEs

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