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Asymptotic decay of solutions of the liouville equation under perturbations

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Abstract

We consider the Cauchy problem for a perturbed Liouville equation. An asymptotic solution is constructed with respect to the perturbation parameter by the two-scale expansion method; this construction can be applied over long time intervals. The main result is the definition of a deformation of the leading term of the asymptotic expansion within a slow time scale.

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  1. Mathematics Institute and Computer Center of the Russian Academy of Sciences, USSR

    L. A. Kalyakin

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  1. L. A. Kalyakin
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Translated frommatematicheskie Zametki, Vol. 68, No. 2, pp. 195–209, August, 2000.

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Kalyakin, L.A. Asymptotic decay of solutions of the liouville equation under perturbations. Math Notes 68, 173–184 (2000). https://doi.org/10.1007/BF02675343

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