TY - JOUR
T1 - Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D
AU - Hayashi, Nakao
AU - Kawahara, Yuichiro
AU - Naumkin, Pavel I.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006/10/1
Y1 - 2006/10/1
N2 - We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.
AB - We study sharp time asymptotics of solutions around the final states of nonlinear Schrödinger equations with quadratic nonlinearities in three space dimensions. In particular, we consider the large time asymptotic estimates of solutions from below.
KW - Lower bounds of time decay
KW - Nonlinear Schrödinger equations
UR - http://www.scopus.com/inward/record.url?scp=33746956177&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33746956177&partnerID=8YFLogxK
U2 - 10.1016/j.na.2005.10.020
DO - 10.1016/j.na.2005.10.020
M3 - Article
AN - SCOPUS:33746956177
VL - 65
SP - 1394
EP - 1410
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 7
ER -