Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation

نویسندگان

چکیده

Abstract The BBM equation is a Hamiltonian PDE which revealed to be very interesting test-model study the transformation property of Gaussian measures along flow, after Tzvetkov (Sigma 3:e28-35). In this paper we with critical dispersion (which Benjamin-Ono type model). We prove that image supported on fractional Sobolev spaces increasing regularity are absolutely continuous, but cannot identify density, for new ideas needed.

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ژورنال

عنوان ژورنال: Stochastics And Partial Differential Equations: Analysis And Computations

سال: 2022

ISSN: ['2194-0401', '2194-041X']

DOI: https://doi.org/10.1007/s40072-022-00240-2