Asymptotic behavior for Dirichlet problems of nonlinear Schrodinger equations with Landau damping on a half line

This article is a continuation of the study in [5], where we proved the existence of solutions, global in time, for the initial-boundary value problem $$\displaylines{ u_{t}+iu_{xx}+i|u|^{2}u+|\partial _x|^{1/2}u=0,\quad t\geq 0,\; x\geq 0; \cr u(x,0)=u_{0}(x),\quad x>0 \cr u_x(0,t)=h(t),\...

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Bibliographic Details
Main Author: Liliana Esquivel
Format: Article
Language:English
Published: Texas State University 2017-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/157/abstr.html