Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations

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KÖMBE İ.

Abstract and Applied Analysis, cilt.2005, sa.6, ss.607-617, 2005 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2005 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1155/aaa.2005.607
  • Dergi Adı: Abstract and Applied Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.607-617
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: ∂u/∂t = ℒu + V(w)up-1 in Ω × (0,T), 1 < p < 2, u(w,0) = u0(w) ≥ 0 in Ω, u(w,t) = 0 on ∂Ω × (0,T) where ℒ is the subelliptic p-Laplacian and V ∈ Lloc 1 (Ω). Copyright © 2005 Hindawi Publishing Corporation.