Nonlinear degenerate parabolic equations with time dependent singular coefficients


Ahmetolan S., CAVDAR S.

MATHEMATISCHE NACHRICHTEN, cilt.284, sa.10, ss.1219-1233, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 284 Sayı: 10
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1002/mana.200810135
  • Dergi Adı: MATHEMATISCHE NACHRICHTEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1219-1233
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We are concerned with the nonexistence of positive solutions of the nonlinear parabolic partial differential equations in a cylinder Omega x (0, T) with initial condition u(., 0) = u(0) (.) >= 0 and vanishing on the boundary partial derivative Omega x (0, T), given by