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math.AP2026
Convergence of the self-dual abelian Higgs gradient flow
Jason Zhao
Given an initial data configuration on such that the self-dual abelian Higgs energy is near the minimum energy within its topolog…
math.AP2024
Local well-posedness for dispersive equations with bounded data
Jason Zhao
Given sufficiently regular data \textit{without} decay assumptions at infinity, we prove local well-posedness for non-linear dispersive equations of the form \[ \partial_t u + \mat…