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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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3 papers · 1 filter

math.PR2024

Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation

Justin Forlano, Leonardo Tolomeo

We consider the stochastic damped nonlinear wave equation on the two-dimensional torus $\mathb…

math.AP2024★ 1 cited

Unconditional deep-water limit of the intermediate long wave equation in low-regularity

Justin Forlano, Guopeng Li, Tengfei Zhao

In this paper, we establish the unconditional deep-water limit of the intermediate long wave equation (ILW) to the Benjamin-Ono equation (BO) in low-regularity Sobolev spaces on bo…

math.AP2024

Invariant measures for mKdV and KdV in infinite volume

Justin Forlano, Rowan Killip, Monica Visan

We construct dynamics for the defocusing real-valued (Miura) mKdV equation on the real line with initial data distributed according to Gibbs measure. We also prove that Gibbs measu…