3 papers
math.AP2026
Sharp decay thresholds in weighted for wave kinetic equations with power-law dispersion
Xilu Zhu
We study four-wave kinetic equations in space dimension three with power-law dispersion and collision kernels with high-frequency growth measured by . In weighted $…
math.AP2024
A Blowup Solution of Multispeed Klein-Gordon System in Space Dimension Two with Small Initial Data
Xilu Zhu
We find an example to illustrate that the first nondegeneracy condition of (1.2) is actually needed in proving the global exsitence of 2D multispeed Klein-Gordon system with small…
math.AP2023
Global Solutions of Multispeed Semilinear Klein-Gordon Systems in Space Dimension Two
Xilu Zhu
We consider general semilinear, multispeed Klein-Gordon systems in space dimension two with some non-degeneracy conditions. We prove that with small initial data such solutions are…