HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.37, no.2, pp.69-79, 2008 (SCI-Expanded)
A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation partial derivative u/partial derivative t - alpha(2) partial derivative(2)u/partial derivative x(2) = f(t, x, u). The existence, uniqueness and also continuity of the weak generalized solution is proved.