Differential and Integral Equations
- Differential Integral Equations
- Volume 18, Number 10 (2005), 1147-1174.
The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data
The Cauchy problem for a coupled system of the Schrödinger and the KdV equation is shown to be globally well posed for data with infinite energy. The proof uses refined bilinear Strichartz-type estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.
Differential Integral Equations, Volume 18, Number 10 (2005), 1147-1174.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B45: A priori estimates
Pecher, Hartmut. The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data. Differential Integral Equations 18 (2005), no. 10, 1147--1174. https://projecteuclid.org/euclid.die/1356060109