Display Abstract

Title Asymptotics of the Neumann Value for the NLS on the Half-Line with Periodic Dirichlet Data

Name Thanasis Fokas
Country England
Email T.Fokas@damtp.cam.ac.uk
Co-Author(s)
Submit Time 2014-02-28 11:51:32
Session
Special Session 98: Boundary-value problems for linear and nonlinear integrable problems
Contents
The most challenging problem in the implementation of the so-called unified transform to the NLS on the half line, is the characterisation of the unknown boundary value in terms of the given data. First, an effective perturbative method will be presented for the asymptotic computation of the Neumann boundary value for given t-periodic Dirichlet data. Then, certain analytical results will be discussed, extending the relevant pioneering results of A. Boutet de Monvel and collaborators.