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
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 .
Differential Integral Equations, Volume 30, Number 7/8 (2017), 521-554.
Accepted: December 2016
First available in Project Euclid: 4 May 2017
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
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