一阶格点系统的不变测度与Liouville型方程

Abstract

Abstract:

This article discusses the probability distribution of solutions in the phase space for the first-order lattice system. The authors first prove the the process generated by the solutions operator of the lattice system possesses a pullback attractor. Then they prove that there is a unique family of invariant probability measures contained in pullback attractor and the measures satisfy a Liouville type equation.

Key words: Lattice system, Pullback attractor, Invariant measure, Liouville type equation

CLC Number:

O175

Yongjun Li,Yanmiao Sang,Caidi Zhao. Invariant Measures and Liouville Type Equation for First-Order Lattice System[J].Acta mathematica scientia,Series A, 2020, 40(2): 328-339.

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References 36

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Invariant Measures and Liouville Type Equation for First-Order Lattice System

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