# Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation

## Abstract

We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation, formulated on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.

- Authors:

- Centro de Ciencias Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia CP 58089, Michoacán (Mexico)

- Publication Date:

- OSTI Identifier:
- 22251912

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Physics

- Additional Journal Information:
- Journal Volume: 54; Journal Issue: 11; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMPTOTIC SOLUTIONS; DIRICHLET PROBLEM; NONLINEAR PROBLEMS; PARTIAL DIFFERENTIAL EQUATIONS

### Citation Formats

```
Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx.
```*Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation*. United States: N. p., 2013.
Web. doi:10.1063/1.4829437.

```
Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx.
```*Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation*. United States. doi:10.1063/1.4829437.

```
Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx. Fri .
"Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation". United States. doi:10.1063/1.4829437.
```

```
@article{osti_22251912,
```

title = {Asymptotics for inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation},

author = {Kaikina, Elena I., E-mail: ekaikina@matmor.unam.mx},

abstractNote = {We consider the inhomogeneous Dirichlet initial-boundary value problem for the nonlinear Schrödinger equation, formulated on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time.},

doi = {10.1063/1.4829437},

journal = {Journal of Mathematical Physics},

issn = {0022-2488},

number = 11,

volume = 54,

place = {United States},

year = {2013},

month = {11}

}

DOI: 10.1063/1.4829437

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