2 papers
math.AP2026
Spectral property for the 2D Zakharov-Kuznetsov equation
Justin Holmer, Svetlana Roudenko
We discuss a spectral property for the virial operator of the 2D Zakharov-Kuznetsov (ZK) equation. This is a crucial ingredient to establish blow-up or asymptotic stability of soli…
math.AP2006
The initial-boundary value problem for the 1D nonlinear Schroedinger equation on the half-line
Justin Holmer
We prove, by adapting the method of Colliander-Kenig (2002), local well-posedness of the initial-boundary value problem for the one-dimensional nonlinear Schroedinger equation on t…