FOURIER METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH PERIODIC BOUNDARY CONDITION

Ciftci I., Halilov H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.37, sa.2, ss.69-79, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 2
  • Basım Tarihi: 2008
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.69-79
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

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.