This paper is concerned with initial-boundary-value problems (IBVPs) for a class of
nonlinear Schrödinger equations posed either on a half line R+ or on a bounded interval (0 …

The initial-boundary value problem (ibvp) for the cubic nonlinear Schrödinger (NLS)
equation on the half-line with data in Sobolev spaces is analysed via the formula obtained …

We prove, by adapting the method of Colliander-Kenig 9, local well posedness of the initial-
boundary-value problem for the one-dimensional nonlinear Schrödinger equation …

In this paper, we deal with controllability properties of linear and nonlinear Korteweg–de
Vries equations in a bounded interval. The main part of this paper is a result of uniform …

It is known that the linear Korteweg–de Vries (KdV) equation with homogeneous Dirichlet
boundary conditions and Neumann boundary control is not controllable for some critical …

In this paper, we consider the solution to the linear Korteweg‐De Vries (KdV) equation, both
homogeneous and forced, on the quadrant x∈ R+, t∈ R+ {x∈R^+,t∈R^+} via the unified …

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations Page
1 Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations …

We establish local well‐posedness in the sense of Hadamard for a certain third‐order
nonlinear Schrödinger equation with a multiterm linear part and a general power …

This paper studies nonhomogeneous initial-boundary value problems for quasilinear one-
dimensional odd-order equations posed on a bounded interval. For reasonable initial and …

In the last 40 years the study of initial boundary value problem for the Korteweg–de Vries
equation has had the attention of researchers from various research fields. In this note we …