Abstract:
We consider the first mixed problem for a class of parabolic equation with double non-exponential nonlinearities in a cylindrical domain D=(t>0)×Ω. By Galerkin's approximations we prove the existence of strong solutions in Sobolev–Orlich space.
Keywords:
parabolic equation, N-functions, existence of solution, Sobolev–Orlich spaces.
Citation:
E. R. Andriyanova, F. Kh. Mukminov, “Existence of solution for parabolic equation with non-power nonlinearities”, Ufa Math. J., 6:4 (2014), 31–47