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Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem

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Abstract

We study the behavior of the total mass of the solution of Neumann problem for a broad class of degenerate parabolic equations with damping in spaces with noncompact boundary. New critical indices for the investigated problem are determined.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian National Academy of Sciences, Donetsk

    A. F. Tedeev

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  1. A. F. Tedeev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 2, pp. 272–282, February, 2006.

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Tedeev, A.F. Initial-boundary-value problems for quasilinear degenerate hyperbolic equations with damping. Neumann problem. Ukr Math J 58, 304–317 (2006). https://doi.org/10.1007/s11253-006-0067-8

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  • DOI: https://doi.org/10.1007/s11253-006-0067-8

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