Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

Nakao Hayashi; Elena I. Kaikina; Takayoshi Ogawa

doi:10.1007/s42985-021-00120-9

Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

Nakao Hayashi, Elena I. Kaikina, Takayoshi Ogawa

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

2 Citations (Scopus)

Abstract

We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in general space dimension n≥ 3. We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.

Original language	English
Article number	69
Journal	Partial Differential Equations and Applications
Volume	2
Issue number	6
DOIs	https://doi.org/10.1007/s42985-021-00120-9
Publication status	Published - 2021 Dec

Keywords

Inhomogeneous Dirichlet-boundary value problem
Large time asymptotics
Nonlinear Schrödinger equation
Upper half-line

ASJC Scopus subject areas

Analysis
Applied Mathematics
Computational Mathematics
Numerical Analysis

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10.1007/s42985-021-00120-9

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@article{93d423a6ccc24ccb8b09b5837826201a,

title = "Inhomogeneous Dirichlet boundary value problem for nonlinear Schr{\"o}dinger equations in the upper half-space",

abstract = "We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schr{\"o}dinger equations with a power nonlinearity in general space dimension n≥ 3. We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.",

keywords = "Inhomogeneous Dirichlet-boundary value problem, Large time asymptotics, Nonlinear Schr{\"o}dinger equation, Upper half-line",

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

note = "Funding Information: We would like to thank referees for useful comments. The work of NH is partially supported by JSPS KAKENHI Grant numbers JP20K03680, JP19H05597. The work of EIK is partially supported by CONACYT 252053-F . The work of TO is partially supported by JSPS KAKENHI Grant number JP19H05597. Publisher Copyright: {\textcopyright} 2021, The Author(s).",

year = "2021",

month = dec,

doi = "10.1007/s42985-021-00120-9",

language = "English",

volume = "2",

journal = "Partial Differential Equations and Applications",

issn = "2662-2963",

publisher = "Springer International Publishing AG",

number = "6",

}

TY - JOUR

T1 - Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

AU - Hayashi, Nakao

AU - Kaikina, Elena I.

AU - Ogawa, Takayoshi

N1 - Funding Information: We would like to thank referees for useful comments. The work of NH is partially supported by JSPS KAKENHI Grant numbers JP20K03680, JP19H05597. The work of EIK is partially supported by CONACYT 252053-F . The work of TO is partially supported by JSPS KAKENHI Grant number JP19H05597. Publisher Copyright: © 2021, The Author(s).

PY - 2021/12

Y1 - 2021/12

N2 - We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in general space dimension n≥ 3. We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.

AB - We consider the inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity in general space dimension n≥ 3. We present some results on global existence in time and uniquness of small solutions to integral equations associated to the original problem.

KW - Inhomogeneous Dirichlet-boundary value problem

KW - Large time asymptotics

KW - Nonlinear Schrödinger equation

KW - Upper half-line

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U2 - 10.1007/s42985-021-00120-9

DO - 10.1007/s42985-021-00120-9

M3 - Article

AN - SCOPUS:85126323425

SN - 2662-2963

VL - 2

JO - Partial Differential Equations and Applications

JF - Partial Differential Equations and Applications

IS - 6

M1 - 69

ER -

Inhomogeneous Dirichlet boundary value problem for nonlinear Schrödinger equations in the upper half-space

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Keywords

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