Justin Forlano

activity

20182026

most citedOn the transport of Gaussian measures under the one-dimensional fractional nonlinear Schrödinger equations

20 citations · 32 across the 19 of their papers we have counts for

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math.AP2022

Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations

Justin Forlano, Leonardo Tolomeo

We consider the Cauchy problem for the fractional nonlinear Schrödinger equation (FNLS) on the one-dimensional torus with cubic nonlinearity and high dispersion parameter $α > 1$ , s…

math.AP2022★ 1 cited

A remark on the well-posedness of the modified KdV equation in $L^{2}$

Justin Forlano

We study the real-valued modified KdV equation on the real line and the circle, in both the focusing and the defocusing case. By employing the method of commuting flows introduced…

Quasi-invariance of Gaussian measures of negative regularity for fractional nonlinear Schrödinger equations

A remark on the well-posedness of the modified KdV equation in L2

A remark on the well-posedness of the modified KdV equation in $L^{2}$