3 citations · 4 across the 7 of their papers we have counts for
7 papers
Scattering for the Klein-Gordon-Zakharov system in two dimensions
Shijie Dong, Zihua Guo, Kuijie Li
We study the Klein-Gordon-Zakharov system in two spatial dimensions, an important model in plasma physics. For small, smooth, and spatially localized initial data, we establish the…
Complex-valued solutions of the mKdV equations in generalized Fourier-Lebesgue spaces
Zijun Chen, Zihua Guo, Chunyan Huang
We study the \emph{complex-valued} solutions to the Cauchy problem of the modified Korteweg-de Vries equation on the real line. To study the low-regularity problems, we employ a ge…
Global solutions to 3D quadratic nonlinear Schrödinger-type equation
Zihua Guo, Naijia Liu, Liang Song
We consider the Cauchy problem to the 3D fractional Schrödinger equation with quadratic interaction of type. We prove the global existence of solutions and scattering pro…
Remark on the low regularity well-posedness of the KP-I equation
Zihua Guo
We study the Cauchy problem to the KP-I equation posed on . We prove that it is locally well-posed in for , which improves the previous re…
On the well-posedness of the KP-I equation
Zihua Guo, Luc Molinet
We revisit the local well-posedness for the KP-I equation. We obtain unconditional local well-posedness in for and unconditional global well-posedn…
Uniform estimates for oscillatory integrals with parameter-dependent phases
Zihua Guo
We consider the oscillatory integrals with parameter-dependent phases. We decompose the integrals into a leading term and a remainder term. Instead of the pointwise estimate, we us…
Lp bilinear quasimode estimates
Zihua Guo, Xiaolong Han, Melissa Tacy
In this paper, we investigate the bilinear quasimode estimates on compact Riemannian manifolds. We obtain results in the full range on all -dimensional manifolds w…