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

Authors

  • O. M. Buhrii

Abstract

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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Published

25.04.2014

Issue

Vol. 66 No. 4 (2014)

Section

Research articles

How to Cite

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”. Ukrains’kyi Matematychnyi Zhurnal, vol. 66, no. 4, Apr. 2014, pp. 435–444, https://umj.imath.kiev.ua/index.php/umj/article/view/2146.