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math.AP2026
Giga-Kohn-type results for the fully fractional heat equation
Yannick Sire, Juncheng Wei, Ke Wu +1
We consider the semilinear fully fractional heat equation \[ (\partial_t-Δ)^σu = |u|^{p-1}u \quad \text{in } \mathbb{R}^n \times \mathbb{R}_{-}, \qquad 0 < σ< 1. \] For …
math.AP2026
Global oscillatory solutions for the Yang-Mills heat flow
Yannick Sire, Juncheng Wei, Youquan Zheng +1
We investigate the long-time dynamics for the global solution of the -equivariant Yang-Mills heat flow (YMHF) with structure group in space dimension . For a clas…