Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 5 (2006), 517-535.
Rough solutions of a Schrödinger-Benjamin-Ono system
The Cauchy problem for a coupled Schrödinger and Benjamin-Ono system is shown to be globally well posed for a class of data without finite energy. The proof uses the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
Differential Integral Equations, Volume 19, Number 5 (2006), 517-535.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx] 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Pecher, Hartmut. Rough solutions of a Schrödinger-Benjamin-Ono system. Differential Integral Equations 19 (2006), no. 5, 517--535. https://projecteuclid.org/euclid.die/1356050440