2 papers
math.AP2025
Global well-posedness and orbital stability of solitary waves for Zakharov-Ito equation
Fan Wu, Feng Shao
In this paper, we consider the Zakharov-Ito equation \begin{equation*} \begin{cases} u_t+u_{xxx}+3uu_x+ρρ_x=0,\\ ρ_t+{(uρ)}_x=0. \end{cases} \end{equation*} We prove the local well…
math.FA2024
Fekete's lemma in Banach spaces
Aleksei Kulikov, Feng Shao
For a sequence of vectors in the uniformly convex Banach space which for all satisfy we show the…