Nonlinear degenerate parabolic equations with singular lower-order term

Goldstein J. A., KÖMBE İ.

Advances in Differential Equations, cilt.8, sa.10, ss.1153-1192, 2003 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 10
  • Basım Tarihi: 2003
  • Dergi Adı: Advances in Differential Equations
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1153-1192
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We use variational methods to study the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations:{∂u/∂t = δ(um) + V (x)um in ω × (0, T), u(x, 0) = u0(x) ≥ 0 in ω, u(x, t) = 0 on ∂ω × (0, T), and {∂u/∂t = δpu + V (x)up-1 in ω × (0, T), u(x, 0) = u0(x) ≥0 in ω, u(x, t) = 0 on ∂ω × (0, T), where 0 < m < 1, 1 < p < 2, V ∈ L1 loc(ω) and ω is a bounded domain with smooth boundary in ℝN.