2004 Global solutions of the Klein-Gordon-Schrödinger system with rough data
Hartmut Pecher
Differential Integral Equations 17(1-2): 179-214 (2004). DOI: 10.57262/die/1356060479

Abstract

The Klein-Gordon-Schrödinger system with Yukawa coupling is shown to have a unique global solution for rough data, which do 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.

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Hartmut Pecher. "Global solutions of the Klein-Gordon-Schrödinger system with rough data." Differential Integral Equations 17 (1-2) 179 - 214, 2004. https://doi.org/10.57262/die/1356060479

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1164.35511
MathSciNet: MR2035502
Digital Object Identifier: 10.57262/die/1356060479

Subjects:
Primary: 35Q55
Secondary: 35B30

Rights: Copyright © 2004 Khayyam Publishing, Inc.

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Vol.17 • No. 1-2 • 2004
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