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Fundamental Solution of the Cauchy Problem for \( \left\{\overrightarrow{p},\overrightarrow{h}\right\} \)-Parabolic Systems with Variable Coefficients

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We define a class of parabolic systems of partial differential equations and substantiate their \( \left\{\overrightarrow{p},\overrightarrow{h}\right\} \) -parabolicity. We study the properties of the spatial behavior of fundamental solutions of the Cauchy problem for \( \left\{\overrightarrow{p},\overrightarrow{h}\right\} \) -parabolic systems with time-dependent coefficients and present examples of these systems.

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Authors and Affiliations

  1. Fed’kovych Chernivtsi National University, Kotsyubyns’kyi Str., 2, Chernivtsi, 58012, Ukraine

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Correspondence to V. A. Litovchenko.

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Translated from Neliniini Kolyvannya, Vol. 21, No. 2, pp. 189–196, April–June, 2018.

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Litovchenko, V.A. Fundamental Solution of the Cauchy Problem for \( \left\{\overrightarrow{p},\overrightarrow{h}\right\} \)-Parabolic Systems with Variable Coefficients. J Math Sci 243, 230–239 (2019). https://doi.org/10.1007/s10958-019-04537-x

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