110 citations · 484 across the 51 of their papers we have counts for
4 papers · 2 filters
Non-existence of solutions for the periodic cubic NLS below
Zihua Guo, Tadahiro Oh
We prove non-existence of solutions for the cubic nonlinear Schrödinger equation (NLS) on the circle if initial data belong to for some…
Normal form approach to global well-posedness of the quadratic derivative nonlinear Schrödinger equation on the circle
Jaywan Chung, Zihua Guo, Soonsik Kwon +1
We consider the quadratic derivative nonlinear Schrödinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS.…
The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space
Zihua Guo, Chunyan Huang
We prove that in dimensions three and higher the Landau-Lifshitz- Gilbert equation with small initial data in the critical Besov space is globally wellposed in a uniform way with r…
Well-posedness and scattering for the Zakharov system in four dimensions
Ioan Bejenaru, Zihua Guo, Sebastian Herr +1
The Cauchy problem for the Zakharov system in four dimensions is considered. Some new well-posedness results are obtained. For small initial data, global well-posedness and scatter…