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math.AP2022
On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system
Xinyu Cheng, Jiao Xu
In this paper we are interested in the global well-posedness of the 3D Klein-Gordon-Zakharov equations with small initial data. We show the uniform boundedness of the energy for th…
math.AP2022
Localization for general Helmholtz
Xinyu Cheng, Dong Li, Wen Yang
In \cite{gmw2022}, Guan, Murugan and Wei established the equivalence of the classical Helmholtz equation with a ``fractional Helmholtz" equation in which the Laplacian operator is…
math.DG2022
The characterizations on a class of weakly weighted Einstein-Finsler metrics
Xinyue Cheng, Hong Cheng, Pengsheng Wu
In this paper, we study the weakly weighted Einstein-Finsler metrics. First, we show that weakly weighted Einstein-Kropina metrics must be of isotropic S-curvature with respect to…