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math.AP2022★ 1 cited
Nontrivial global solutions to some quasilinear wave equations in three space dimensions
Dongxiao Yu
In this paper, we seek to construct nontrivial global solutions to some quasilinear wave equations in three space dimensions. We first present a conditional result on the construct…
math.AP2021
A uniqueness theorem for 3D semilinear wave equations satisfying the null condition
Dongxiao Yu
In this paper, we prove a uniqueness theorem for a system of semilinear wave equations satisfying the null condition in . Suppose that two global solutions with $…
math.AP2021★ 1 cited
Asymptotic completeness for a scalar quasilinear wave equation satisfying the weak null condition
Dongxiao Yu
In this paper, we prove the first asymptotic completeness result for a scalar quasilinear wave equation satisfying the weak null condition. The main tool we use in the study of thi…