Zhao, CaidiZhuang, RongCaraballo Garrido, Tomás2025-07-032025-07-032025-02-14Zhao, C., Zhuang, R. y Caraballo Garrido, T. (2025). Pullback asymptotic behavior and statistical solutions for lattice Klein-Gordon-Schrödinger equations with varying coefficient. Communications on pure and applied analysis, 24 (8), 1469-1497. https://doi.org/10.3934/cpaa.2025045.1534-03921553-5258https://hdl.handle.net/11441/174967In this article, the authors investigate the pullback asymptotic behavior and statistical solutions for lattice Klein-Gordon-Schrödinger equations with varying coefficient. They first prove the global well-posedness of the addressed equations and the existence of a family of time-dependent pullback attractor for the associated process acting on the time-dependent phase spaces. Then they verify that the process possesses a family of invariant Borel probability measures with support contained in the time-dependent pullback attractor. Further, they reformulate the definition of statistical solution for the evolutionary equations on time-dependent phase spaces. As a result, they prove the existence of statistical solution for the lattice Klein-Gordon-Schrödinger equations with varying coefficient and show that it satisfies the Liouville theorem.application/pdf28 p.engStatistical solutionTime-dependent pullback attractorInvariant Borel probability measuresVarying coefficientLattice Klein-Gordon-Schrödinger equationsinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3934/cpaa.2025045