5 papers
On the global well-posedness of stochastic Schrödinger-Korteweg-de Vries system
Jie Chen, Fan Gu, Boling Guo
In this paper, we study the global well-posedness of the stochastic S-KdV system in , which are driven by additive noises. It is difficult to…
Global Cauchy problems for the nonlocal (derivative) NLS in
Jie Chen, Yufeng Lu, Baoxiang Wang
We consider the Cauchy problem for the (derivative) nonlocal NLS in super-critical function spaces for which the norms are defined by $$ \|f\|_{E^s_σ} = \|\langleξ\rangle^σ…
Complex valued semi-linear heat equations in super-critical spaces
Jie Chen, Baoxiang Wang, Zimeng Wang
We consider the Cauchy problem for the complex valued semi-linear heat equation where is an integer and the initia…
Wellposedness and scattering for the generalized Boussinesq equation
Jie Chen, Boling Guo, Jie Shao
In this paper, we show the local well-posedness of the generalized Boussinesq equation(gBQ) in and obtain the global well-posedness, fini…
Almost sure scattering for the nonlinear Klein-Gordon equations with Sobolev critical power
Jie Chen, Baoxiang Wang
In this paper, we study the almost sure scattering for the Klein-Gordon equations with Sobolev critical power. We obtain the almost sure scattering with random initial data in $H^s…