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On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity

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Ukrainian Mathematical Journal Aims and scope

We study the initial-boundary-value problem with general homogeneous boundary conditions for the Petrovskii-type semilinear parabolic systems with variable exponents of nonlinearity in a cylindrical domain. The existence of mild solutions of this problem is proved.

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Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    O. M. Buhrii

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  1. O. M. Buhrii
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 4, pp. 435–444, April, 2014.

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Buhrii, O.M. On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity. Ukr Math J 66, 487–498 (2014). https://doi.org/10.1007/s11253-014-0947-2

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  • DOI: https://doi.org/10.1007/s11253-014-0947-2

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