Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane

Nakao Hayashi; Elena I. Kaikina

doi:10.1016/j.na.2019.05.007

Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane

Nakao Hayashi, Elena I. Kaikina

Research Alliance Center for Mathematical Sciences (RACMaS)

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	279-306
Number of pages	28
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	187
DOIs	https://doi.org/10.1016/j.na.2019.05.007
Publication status	Published - 2019 Oct

Keywords

Inhomogeneous initial–boundary value problem
Large time asymptotics
Nonlinear Schrödinger equation
Upper half plane

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2019.05.007

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@article{920e1809c21c468fb93de3c2182f763f,

title = "Inhomogeneous Dirichlet-boundary value problem for nonlinear Schr{\"o}dinger equations with a power nonlinearity on the upper half-plane",

abstract = "We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schr{\"o}dinger 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.",

keywords = "Inhomogeneous initial–boundary value problem, Large time asymptotics, Nonlinear Schr{\"o}dinger equation, Upper half plane",

author = "Nakao Hayashi and Kaikina, {Elena I.}",

note = "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.",

year = "2019",

month = oct,

doi = "10.1016/j.na.2019.05.007",

language = "English",

volume = "187",

pages = "279--306",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

}

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.

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 -