Global solutions of the Klein-Gordon - Schroedinger system with rough data

2002/03/21 by Hartmut Pecher, Pecher, Hartmut · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories #math.AP

paper · pdf · doi:10.48550/arxiv.math/0203219

openalex publication_date 2002/03/21 · arxiv created 2003/10/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Klein-Gordon - Schroedinger system with Yukawa coupling is shown to have a unique global solution for rough data, which not necessarily have finite energy. The proof uses a generalized bilinear estimate of Strichartz type and Bourgain's idea to split the data into low and high frequency parts.

Citations

• Space‐time estimates for null forms and the local existence theorem

Cited by

• Optimal convergence rates of the Klein-Gordon-Schrödinger system in the nonrelativistic limit

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