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 …

Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe
propagation of nonlinear and dispersive water waves of significant interest such as solitary …

A novel method is presented for explicitly solving inhomogeneous initial-boundary-value
problems (IBVPs) on the half-line for a well-known coupled system of evolution partial …

We study the local and global wellposedness of the initial-boundary value problem for the
biharmonic Schr\" odinger equation on the half-line with inhomogeneous Dirichlet-Neumann …

The well-posedness of the initial–boundary value problem (ibvp) for the Korteweg–de Vries
equation on the half-line is studied for initial data u 0 (x) in spatial Sobolev spaces H s (0,∞) …

The initial-boundary value problem (ibvp) for the m-th order dispersion Korteweg-de Vries
(KdV) equation on the half-line with rough data and solution in restricted Bourgain spaces is …

The initial‐boundary value problem for the heat equation on x> 0, t> 0\left {x> 0, t>
0\right\} with nonzero Dirichlet boundary data is studied rigorously, with emphasis on the …

Abstract The asymptotic Dirichlet‐to‐Neumann (D‐N) map is constructed for a class of
scalar, constant coefficient, linear, third‐order, dispersive equations with asymptotically …

The initial-boundary value problem for the nonlinear Schrödinger equation on the half-line
with initial data in Sobolev spaces H s (0,∞), 1/2< s⩽ 5/2, s≠ 3/2, and Robin boundary data …

We obtain solution representation formulae for some linear initial boundary value problems
posed on the half space that involve mixed spatial derivative terms via the unified transform …