# Article

Ufa Mathematical Journal
Volume 6, Number 4, pp. 31-47

# Existence of solution for parabolic equation with non-power nonlinearities

Andriyanova E.R., Mukminov F.Kh.

DOI:10.13108/2014-6-4-31

We consider the first mixed problem for a class of parabolic equation with double non-power nonlinearities in a cylindrical domain $D=(t>0)\times\Omega$. By Galerkin's approximations we prove the existence of strong solutions in Sobolev-Orlicz space.