43 citations · 108 across the 17 of their papers we have counts for
3 papers · 1 filter
Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
Giuseppe Genovese, Renato Lucá, Nikolay Tzvetkov
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. In this paper we…
Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs
Giuseppe Genovese, Renato Lucà, Nikolay Tzvetkov
We show that introducing an exponential cut-off on a suitable Sobolev norm facilitates the proof of quasi-invariance of Gaussian measures with respect to Hamiltonian PDE flows and…
Convergence over fractals for the Schrödinger equation
Renato Lucà, Felipe Ponce-Vanegas
We consider a fractal refinement of the Carleson problem for the Schrödinger equation, that is to identify the minimal regularity needed by the solutions to converge pointwise to t…