Differential and Integral Equations

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

Hartmut Pecher

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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

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

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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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