Differential and Integral Equations

Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system

Mostafa Abounouh, Olivier Goubet, and Abdelilah Hakim

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Abstract

It is well known that the coupled Klein-Gordon-Schrödinger system possesses a compact global attractor into a suitable energy space. We prove the asymptotical smoothing effect for this system, i.e., we prove that the attractor is in fact embedded into a smaller energy space.

Article information

Source
Differential Integral Equations, Volume 16, Number 5 (2003), 573-581.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060627

Mathematical Reviews number (MathSciNet)
MR1973063

Zentralblatt MATH identifier
1037.37035

Subjects
Primary: 37L30: Attractors and their dimensions, Lyapunov exponents
Secondary: 35B41: Attractors 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10]

Citation

Abounouh, Mostafa; Goubet, Olivier; Hakim, Abdelilah. Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system. Differential Integral Equations 16 (2003), no. 5, 573--581. https://projecteuclid.org/euclid.die/1356060627


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