Fourier method for a quasilinear parabolic equation with periodic boundary condition
Citation
Çitçi, I. & Halilov, H. (2008). Fourier method for a quasilinear parabolic equation with periodic boundary condition. Hacettepe Journal of Mathematics and Statistics, 37(2), 69-79.Abstract
A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ?u/?t-a2 ?2u/?x2 = f(t, x, u). The existence, uniqueness and also continuity of the weak generalized solution is proved.
