4 papers · 1 filter
Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane
Roberto A. Capistrano-Filho, Márcio Cavalcante, Fernando A. Gallego
This paper deals with the initial-boundary value problem of the biharmonic cubic nonlinear Schrödinger equation in a quarter plane with inhomogeneous Dirichlet-Neumann boundary dat…
Well-posedness and long time behavior for the Schrödinger-Korteweg-de Vries interactions on the half-Line
Márcio Cavalcante, Adán Corcho
The initial-boundary value problem for the Schrödinger-Korteweg-de Vries system is considered on the left and right half-line for a wide class of initial-boundary data, including t…
Local well-posedness of the fifth-order KdV-type equations on the half-line
Márcio Cavalcante, Chulkwang Kwak
This paper is a continuation of authors' previous work \cite{CK2018-1}. We extend the argument \cite{CK2018-1} to fifth-order KdV-type equations with different nonlinearities, in s…
The initial-boundary value problem for the Kawahara equation on the half-line
Márcio Cavalcante, Chulkwang Kwak
This paper concerns the initial-boundary value problem (IBVP) of the Kawahara equation posed on the right and left half-lines. We prove the local well-posedness in the low regulari…