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math.AP2021
Global existence and asymptotics for the modified two-dimensional Schrödinger equation in the critical regime
Xuan Liu, Ting Zhang
We study the asymptotic behavior of the modified two-dimensional Schrödinger equation in the critical regime, where with …
math.AP2021
Modified scattering for the one-dimensional Schrödinger equation with a subcritical dissipative nonlinearity
Xuan Liu, Ting Zhang
We study the asymptotic behavior in time of solutions to the one dimensional nonlinear Schrödinger equation with a subcritical dissipative nonlinearity , where , an…
math.AP2021★ 3 cited
Bilinear Strichartz's type estimates in Besov spaces with application to inhomogeneous nonlinear biharmonic Schrödinger equation
Xuan Liu, Ting Zhang
In this paper, we consider the well-posedness of the inhomogeneous nonlinear biharmonic Schrödinger equation with spatial inhomogeneity coefficient behaves like $\left|x\rig…
math.AP2021
Global solutions for -critical nonlinear biharmonic Schrödinger equation
Xuan Liu, Ting Zhang
We consider the nonlinear biharmonic Schrödinger equation in the critical Sobolev space , where , or…