TY - JOUR
T1 - Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane
AU - Hayashi, Nakao
AU - Kaikina, Elena I.
N1 - Funding Information:
The work of N.H. is partially supported by JSPS KAKENHI, Japan Grant Numbers JP25220702 , JP15H03630 . The work of E.I.K. is partially supported by CONACYT 252053-F and PAPIIT project IN100817.
Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/10
Y1 - 2019/10
N2 - We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in the upper half plane. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the problem by using the classical energy method and factorization techniques.
AB - We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in the upper half plane. We present sufficient conditions of initial and boundary data which ensure asymptotic behavior of small solutions to the problem by using the classical energy method and factorization techniques.
KW - Inhomogeneous initial–boundary value problem
KW - Large time asymptotics
KW - Nonlinear Schrödinger equation
KW - Upper half plane
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U2 - 10.1016/j.na.2019.05.007
DO - 10.1016/j.na.2019.05.007
M3 - Article
AN - SCOPUS:85065913387
VL - 187
SP - 279
EP - 306
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
ER -