effective stability 1gevrey regularity 1hamiltonian partial differential equations 1high-low frequency decomposition 1vanishing spectral gaps 1
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math.AP2026
Effective stability for Hamiltonian PDEs vanishing spectral gaps
Bingqi Yu, Yong Li
The paper proves effective stability for nearly integrable Hamiltonian PDEs with spectral gaps that vanish asymptotically, using a high‑low frequency decomposition and a modified b…
math.AP2026
Almost global existence for Ultra-differential Hamiltonian in space
Bingqi Yu, Li Yong
This paper combines the decay of high modes with the smallness introduced by high orders, leading to a normal form lemma for infinite-dimensional Hamiltonian systems under ultra-di…
math.AP2026
Nekhoroshev type stability for non-local semilinear Schrödinger equations
Bingqi Yu, Li Yong
This paper investigates Nekhoroshev-type stability for solutions of ultra-differentiable regularity in Schrödinger equations with non-local nonlinear terms, employing the method o…