110 citations · 484 across the 51 of their papers we have counts for
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On the energy-critical fractional Schödinger equation in the radial case
Zihua Guo, Yannick Sire, Yuzhao Wang +1
We consider the Cauchy problem for the energy-critical nonlinear Schrödinger equation with fractional Laplacian (fNLS) in the radial case. We obtain global well-posedness and scatt…
A Sobolev estimate for the adjoint restriction operator
Yonggeun Cho, Zihua Guo, Sanghyuk Lee
In this note we consider the adjoint restriction estimate for hypersurface under additional regularity assumption. We obtain the optimal - estimate and its mixed norm gen…
Strichartz estimates for Schrödinger equations on irrational tori
Zihua Guo, Tadahiro Oh, Yuzhao Wang
In this paper, we prove new Strichartz estimates for linear Schrodinger equations posed on d-dimensional irrational tori. Then, we use these estimates to prove subcritical and crit…
Generalized Strichartz estimates and scattering for 3D Zakharov system
Zihua Guo, Sanghyuk Lee, Kenji Nakanishi +1
We obtain scattering for the 3D Zakharov system with non-radial small data in the energy space with angular regularity of degree one. The main ingredient is a generalized Strichart…
Global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case
Zihua Guo, Kenji Nakanishi, Shuxia Wang
We consider the global dynamics below the ground state energy for the Klein-Gordon-Zakharov system in the 3D radial case; and obtain the dichotomy between scattering and finite tim…
Well-posedness in energy space for the periodic modified Benjamin-Ono equation
Zihua Guo, Yiquan Lin, Luc Molinet
We prove that the periodic modified Benjamin-Ono equation is locally well-posed in the energy space . This ensures the global well-posedness in the defocusing case. The pr…