110 citations · 484 across the 51 of their papers we have counts for
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Small energy scattering for the Klein-Gordon-Zakharov system with radial symmetry
Zihua Guo, Kenji Nakanishi, Shuxia Wang
We prove small energy scattering for the 3D Klein-Gordon-Zakharov system with radial symmetry. The idea of proof is the same as the Zakharov system studied in \cite{GN}, namely to…
Rough solutions of the fifth-order KdV equations
Zihua Guo, Chulkwang Kwak, Soonsik Kwon
We consider the Cauchy problem of the fifth-order equation arising from the Korteweg-de Vries (KdV) hierarchy u_t + u_{xxxxx} + c_1u_{x} u_{xx} + c_2u u_{x} = 0 x,t \in \R We prove…
Global dynamics below the ground state energy for the 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 Zakharov system in the 3D radial case. We obtain dichotomy between the scattering and the growup.
Small energy scattering for the Zakharov system with radial symmetry
Zihua Guo, Kenji Nakanishi
We prove small energy scattering for the 3D Zakharov system with radial symmetry. The main ingredients are normal form reduction and the radial-improved Strichartz estimates.