1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
On dispersive decay for the generalized Korteweg--de Vries equation
Matthew Kowalski, Minjie Shan
We prove pointwise-in-time dispersive estimates for solutions to the generalized Korteweg--de Vries (gKdV) equation. In particular, for solutions to the mass-critical model, we ass…
math.AP2025
Global asymptotic behavior of solutions to the generalized derivative nonlinear Schrödinger equation
Minjie Shan
This article is concerned with the global asymptotic behavior for the generalized derivative nonlinear Schrödinger (gDNLS) equation. When the nonlinear effect is not strong, we sho…
math.AP2024★ 1 cited
Dispersive decay for the mass-critical generalized Korteweg-de Vries equation and generalized Zakharov-Kuznetsov equations
Minjie Shan
In this paper, we discuss pointwise decay estimate for the solution to the mass-critical generalized Korteweg-de Vries (gKdV) equation with initial data $u_0\in H^{1/2}(\mathbb{R})…