Existence of solution for parabolic equation with non-power nonlinearities
Elina Radikovna Andriyanova, F. Kh. Mukminov · Ufimskii Matematicheskii Zhurnal · 2014
We consider the first mixed problem for a class of parabolic equation with double non-power nonlinearities in a cylindrical domain 𝐷 = (𝑡 > 0) × Ω.By Galerkin's approximations we prove the existence of strong solutions in Sobolev-Orlicz space.