加权空间中一阶格点系统的统计解及其Kolmogorov熵

Abstract

Abstract: This article studies the statistical solution and Kolmogorov entropy for first-order lattice systems in weighted spaces. The authors first establish that the initial value problem is global well-posed in weighted spaces and that the continuous process associated to the solution operators possesses a family of invariant Borel probability measures. Then they prove that this family of invariant Borel probability measures meets the Liouville theorem and is a statistical solution of the addressed systems. Finally, they prove the upper bound of the Kolmogorov entropy of the statistical solution.

Key words: Lattice systems, Pullback attractor, Weighted space, Statistical solution, Kolmogorov entropy

Tian-Fang ZOU Zhao Caidi. Statistical solutions and Kolmogorov entropy for first-order lattice systems in weighted spaces[J].Acta mathematica scientia,Series A, , (): 0-0.

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Statistical solutions and Kolmogorov entropy for first-order lattice systems in weighted spaces

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