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
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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.