1 citations · 1 across the 2 of their papers we have counts for
2 papers
math.AP2024★ 1 cited
Local well-posedness for a generalized sixth-order Boussinesq equation
Long Zhong, Shenghao Li
A formally second order correct Boussinesq-type equation that describes unidirectional shallow water waves is derived, $$u_{tt} - u_{xx} - u_{xxxx} - u_{xxxxxx} - (u^2)_{xx} - (u^2…
math.AP2023
A lower index bilinear estimate for the quadratic Schrödinger equation and application for its half line problem
Shenghao Li, Xin Yang
We prove the local well-posedness of the initial boundary value problem for the nonlinear quadratic Schrödinger equation under low initial-boundary regularity assumption via the bo…