Doubly nonlinear parabolic equations with singular lower order term
Nonlinear Analysis, Theory, Methods and Applications, cilt.56, sa.2, ss.185-199, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 2
- Basım Tarihi: 2004
- Doi Numarası: 10.1016/j.na.2003.09.006
- Dergi Adı: Nonlinear Analysis, Theory, Methods and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.185-199
- Anahtar Kelimeler: Doubly nonlinear parabolic equations, Hardy inequality, Positive solutions
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
In this paper we are concerned with positive solutions of the doubly nonlinear parabolic equation ut=div(um-1|∇u| p-2∇u)+Vum+p-2 in a cylinder Ω×(0,T), with initial condition u(·,0)=u0(·) ≥ 0 and vanishing on the parabolic boundary ∂Ω×(0,T). Here Ω⊂RN (resp. Hn) is a bounded domain with smooth boundary, VLloc1(Ω), mR, 1