Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation

DOI10.1214/23-aihp1380MaRDI QIDQ6616033

Mamoru Okamoto, Tadahiro Oh, Nickolay Tzvetkov

Publication date: 8 October 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

nonlinear wave equationill-posednessGaussian free fieldnorm inflationalmost sure norm inflation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Applications of stochastic analysis (to PDEs, etc.) (60H30) PDEs with randomness, stochastic partial differential equations (35R60) Second-order semilinear hyperbolic equations (35L71)

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