On the uniqueness of invariant measure of the Burgers equation driven by Lévy processes (Q927260)

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scientific article; zbMATH DE number 5284750
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On the uniqueness of invariant measure of the Burgers equation driven by Lévy processes
scientific article; zbMATH DE number 5284750

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    On the uniqueness of invariant measure of the Burgers equation driven by Lévy processes (English)
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    4 June 2008
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    The author examines the uniqueness of the invariant measure for one-dimensional Burgers equations on \([0,1]\), with random perturbations of the body forces in the form of the Poisson process and Brownian motion. The uniqueness is determined under the conditions of being strong Fellerian and irreducible.
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    Burgers equation
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    Poisson process
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    \(Q\)-Wiener process
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    mild solution
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    invariant measure
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