FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION

Authors : I. Ciftci, H. Halilov

Pages : 69-79

View : 16 | Download : 9

Publication Date : 2008-02-01

Article Type : Research Paper

Abstract :A multidimensional mixed problem with Neuman type periodic boundary condition is studied for the quasilinear parabolic equation ∂u ∂t − a 2 ∂ 2u ∂x2 = finsert ignore into journalissuearticles values(t, x, u);. The existence, uniqueness and also continuity of the weak generalized solution is proved.
Keywords : Quasilinear parabolic equation, Mixed problem, Fourier method, Periodic boundary condition, Generalized solutions