26 citations · 29 across the 9 of their papers we have counts for
11 papers
Ill-posedness in the critical Sobolev space for the -Novikov equation
Dan-Andrei Geba, A. Alexandrou Himonas, Curtis Holliman
This article proves norm inflation in the critical Sobolev space for the -Novikov equation, which is a -parameter family of Camassa-Holm-type equations…
The nonlinear Schrödinger equation on the half-space
A. Alexandrou Himonas, Fangchi Yan
This work studies the initial-boundary value problem for both the linear Schrödinger equation and the cubic nonlinear Schrödinger equation on the half-space in higher dimensions ($…
The Majda-Biello system on the half-line
A. Alexandrou Himonas, Fangchi Yan
The Majda-Biello system models the interaction of Rossby waves. It consists of two coupled KdV equations one of which has a parameter as coefficient of its dispersion. This wor…
A higher dispersion KdV equation on the half-line
A. Alexanddrou Himonas, Fangchi Yan
The initial-boundary value problem (ibvp) for the -th order dispersion Korteweg-de Vries (KdV) equation on the half-line with rough data and solution in restricted Bourgain spac…
Well-Posedness of Initial-Boundary Value Problems for a Reaction-Diffusion Equation
A. Alexandrou Himonas, Dionyssios Mantzavinos, Fangchi Yan
A reaction-diffusion equation with power nonlinearity formulated either on the half-line or on the finite interval with nonzero boundary conditions is shown to be locally well-pose…
Well-Posedness of the Nonlinear Schrödinger Equation on the Half-Plane
A. Alexandrou Himonas, Dionyssios Mantzavinos
The initial-boundary value problem (IBVP) for the nonlinear Schrödinger (NLS) equation on the half-plane with nonzero boundary data is studied by advancing a novel approach recentl…