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Asymptotic behavior of the solution of the first initial-boundary value problem for equations of the Sobolev type from the viewpoint of oscillations

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Abstract

We study the large-time behavior of solutions of the first initial-boundary value problem for partial differential equations of the Sobolev type. We find conditions under which the derivatives of solutions are either oscillating or stabilize to zero.

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Authors and Affiliations

  1. Moscow State University of Psychology & Education, Moscow, Russia

    T. E. Denisova

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  1. T. E. Denisova
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Original Russian Text © T.E. Denisova, 2012, published in Differentsial’nye Uravneniya, 2012, vol. 48, no. 2, pp. 196–206.

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Denisova, T.E. Asymptotic behavior of the solution of the first initial-boundary value problem for equations of the Sobolev type from the viewpoint of oscillations. Diff Equat 48, 202–213 (2012). https://doi.org/10.1134/S0012266112020048

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