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Degenerate Parabolic Systems of the Diffusion Type with Inertia

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For a class of degenerate parabolic Kolmogorov-type systems with degeneration and arbitrarily (but finitely) many groups of degeneration variables and time-dependent coefficients of the parabolic part, we study the Cauchy problem, construct its fundamental matrix of solutions, and establish the estimates for its derivatives.

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Authors and Affiliations

  1. V. Stefanyk Pre-Carpathian National University, Ivano-Frankivs’k, Ukraine

    H. P. Malytska & I. V. Burtnyak

Authors
  1. H. P. Malytska
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  2. I. V. Burtnyak
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Correspondence to I. V. Burtnyak.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 61, No. 1, pp. 47–56, January–March, 2018.

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Malytska, H.P., Burtnyak, I.V. Degenerate Parabolic Systems of the Diffusion Type with Inertia. J Math Sci 249, 355–368 (2020). https://doi.org/10.1007/s10958-020-04947-2

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  • DOI: https://doi.org/10.1007/s10958-020-04947-2

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