## Differential and Integral Equations

- Differential Integral Equations
- Volume 30, Number 7/8 (2017), 521-554.

### The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line

#### Abstract

We prove local well-posedness for the initial-boundary value problem associated to some quadratic nonlinear Schrödinger equations on the half-line. The results are obtained in the low regularity setting by introducing an analytic family of boundary forcing operators, following the ideas developed in [14].

#### Article information

**Source**

Differential Integral Equations, Volume 30, Number 7/8 (2017), 521-554.

**Dates**

Accepted: December 2016

First available in Project Euclid: 4 May 2017

**Permanent link to this document**

https://projecteuclid.org/euclid.die/1493863393

**Mathematical Reviews number (MathSciNet)**

MR3646462

**Zentralblatt MATH identifier**

06738560

**Subjects**

Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

#### Citation

Cavalcante, Márcio. The initial boundary value problem for some quadratic nonlinear Schrödinger equations on the half-line. Differential Integral Equations 30 (2017), no. 7/8, 521--554. https://projecteuclid.org/euclid.die/1493863393