On the Existence of Mild Solutions of the Initial-Boundary-Value Problems for the Petrovskii-Type Semilinear Parabolic Systems with Variable Exponents of Nonlinearity
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.
English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 4, pp 487-498.
Citation Example: 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. Mat. Zh. - 2014. - 66, № 4. - pp. 435–444.
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