The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow, after Tzvetkov (Sigma 3:e28-35).… Click to show full abstract
The BBM equation is a Hamiltonian PDE which revealed to be a very interesting test-model to study the transformation property of Gaussian measures along the flow, after Tzvetkov (Sigma 3:e28-35). In this paper we study the BBM equation with critical dispersion (which is a Benjamin-Ono type model). We prove that the image of the Gaussian measures supported on fractional Sobolev spaces of increasing regularity are absolutely continuous, but we cannot identify the density, for which new ideas are needed.
Keywords:
benjamin ono;
bbm equation;
gaussian measures;
quasi invariance;
invariance gaussian
Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2022
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Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!