A nonlinear wave equation with fractional perturbation

DOI10.1214/18-AOP1296zbMath1427.60121arXiv1707.02761OpenAlexW2962897626MaRDI QIDQ2421829

Aurélien Deya

Publication date: 18 June 2019

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

Full work available at URL: https://arxiv.org/abs/1707.02761

zbMATH Keywords

fractional noisestochastic wave equationWick renormalization

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

On ill-posedness of nonlinear stochastic wave equations driven by rough noise ⋮ On a non-linear 2D fractional wave equation ⋮ Unnamed Item ⋮ On the parabolic and hyperbolic Liouville equations ⋮ Comparing the stochastic nonlinear wave and heat equations: a case study ⋮ A nonlinear Schrödinger equation with fractional noise ⋮ A full discretization of the rough fractional linear heat equation ⋮ Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise

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