Differential and Integral Equations

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

Hartmut Pecher

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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.

Article information

Source
Differential Integral Equations Volume 17, Number 1-2 (2004), 179-214.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060479

Mathematical Reviews number (MathSciNet)
MR2035502

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]
Secondary: 35B30: Dependence of solutions on initial and boundary data, parameters [See also 37Cxx]

Citation

Pecher, Hartmut. Global solutions of the Klein-Gordon-Schrödinger system with rough data. Differential Integral Equations 17 (2004), no. 1-2, 179--214. https://projecteuclid.org/euclid.die/1356060479.


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