Abstract
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.
Citation
Hartmut Pecher. "The Cauchy problem for a Schrödinger-Korteweg-de Vries system with rough data." Differential Integral Equations 18 (10) 1147 - 1174, 2005. https://doi.org/10.57262/die/1356060109
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