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• W2770292656 abstract "We apply Malliavin calculus to the $Phi^4_3$ equation on the torus and prove existence of densities for the solution of the equation evaluated at regular enough test functions. We work in the framework of regularity structures and rely on Besov-type spaces of modelled distributions in order to prove Malliavin differentiability of the solution. Our result applies to a large family of Gaussian space-time noises including white noise, in particular the noise may be degenerate as long as it is sufficiently rough on small scales." @default.
• W2770292656 created "2017-12-04" @default.
• W2770292656 creator A5054581569 @default.
• W2770292656 creator A5080851833 @default.
• W2770292656 date "2017-11-22" @default.
• W2770292656 modified "2023-09-27" @default.
• W2770292656 title "Existence of densities for the dynamic $Phi^4_3$ model" @default.
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• W2770292656 hasPublicationYear "2017" @default.
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