FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION


Ciftci I. , Halilov H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.37, ss.69-79, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 37 Konu: 2
  • Basım Tarihi: 2008
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Sayfa Sayıları: ss.69-79

Özet

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.