The Cauchy problem for a Schroedinger - Korteweg - de Vries system with rough data

2005/01/24 by Hartmut Pecher, Pecher, Hartmut
Mathematics · Physics and Astronomy · #35Q53 #35Q55 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0501408

openalex publication_date 2005/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Cauchy problem for a coupled system of the Schroedinger and the KdV equation is shown to be globally well-posed for data with infinite energy. The proof uses refined bilinear Strichartz estimates and the I-method introduced by Colliander, Keel, Staffilani, Takaoka, and Tao.

Citations

• Multilinear estimates for periodic KdV equations, and applications

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