Existence, uniqueness and behaviour of solutions for a nonlinear diffusion equation with third type boundary value condition

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DÜZGÜN F. G., Soltanov K.

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, cilt.26, sa.4, ss.445-463, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 4
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4171/rlm/715
  • Dergi Adı: RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.445-463
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this work, we investigate a mixed problem with boundary condition of third type for a nonlinear diffusion equation having nonlocal term. Existence and uniqueness of a solution of the posed problem are proved under fairly general conditions. Moreover, we obtain some results on the behaviour of the solution and the existence of an absorbing set for the problem under consideration.