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math.AP2024
Asymptotic decay for the Chern-Simons-Higgs equations
Dongyi Wei, Shiwu Yang
In this paper, we study the long time asymptotic behaviors for solutions to the Chern-Simons-Higgs equation with a pure power defocusing nonlinearity. We obtain quantitative invers…
math.AP2024
Characteristic initial value problem for nonlinear wave equation with singular initial data
Wei Dai, Shiwu Yang
In this paper, we study the characteristic initial value problem for a class of nonlinear wave equations with data on a conic light cone in the Minkowski space .…