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Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation - MaRDI portal

Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation (Q2239010)

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Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation
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    Invariant measures and statistical solutions for the nonautonomous discrete modified Swift-Hohenberg equation (English)
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    2 November 2021
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    In this article, the authors consider the non-autonomous modified Swift-Hohenberg equation on infinite lattices. They first show the existence of a pullback-D attractor of the process generated by this equation. Then, they establish the existence of a unique family of invariant Borel probability measures carried by the pullback attractor. Finally, they construct statistical solutions for this equation on infinite lattices.
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    invariant measure
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    statistical solution
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    pullback attractor
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    discrete modified Swift-Hohenberg equation
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