加权空间中非自治离散修正 Swift-Hohenberg 方程的统计解

Abstract

Abstract:

This paper studies the statistical solutions for the nonautonomous modified Swift-Hohenberg equation in weighted spaces. The authors first show the existence of pullback attractors of the process generated by this equation. Then the paper further establishes the existence of a unique family of invariant Borel probability measures carried by the pullback attractors, and finally prove that the family of invariant Borel probability measures is a statistical solution for this equation.

Key words: statistical solution, weighted space, discrete modified Swift-Hohenberg equation

CLC Number:

O193

Manlu He, Dingshi Li. Statistical Solutions for the Nonautonomous Discrete Modified Swift-Hohenberg Equation in Weighted Spaces[J].Acta mathematica scientia,Series A, 2025, 45(5): 1586-1601.

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References

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Statistical Solutions for the Nonautonomous Discrete Modified Swift-Hohenberg Equation in Weighted Spaces

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