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math.AP2026
Global dynamics of a supercritical wave equation in a large data regime
Shijie Dong, Zoe Wyatt, Jingya Zhao
We prove the existence of global solutions to the nonlinear wave equation in in the energy-supercritical regime , for a cl…
math.AP2018
Stability of a coupled wave-Klein-Gordon system with quadratic nonlinearities
Shijie Dong, Zoe Wyatt
Using the hyperboloidal foliation method, we establish stability results for a coupled wave-Klein-Gordon system with quadratic nonlinearities. In particular, we investigate quadrat…