Showing math.APShow all
2 papers · 1 filter
math.AP2020
Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces
Tadahiro Oh, Kihoon Seong
We continue the study on the transport properties of the Gaussian measures on Sobolev spaces under the dynamics of the cubic fourth order nonlinear Schrödinger equation. By conside…
math.AP2019
Low regularity a priori estimates for the fourth order cubic nonlinear Schrödinger equation
Kihoon Seong
We consider the low regularity behavior of the fourth order cubic nonlinear Schrödinger equation (4NLS) \begin{align*} \begin{cases} i\partial_tu+\partial_x^4u=\pm \vert u \vert^2u…