From the 1 of 4 linked papers with an AI index.
4 papers
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…
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…
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…
Reusability of Quantum Catalysts
Haitao Ma, Yantong Li, Yingchun Kang +4
Quantum catalysts enable transformations that otherwise would be forbidden, offering a pathway to surpass conventional limits in quantum information processing. Among them, embezzl…