LONG-TIME DYNAMICS OF THE PARABOLIC p-LAPLACIAN EQUATION

GEREDELI P. G., Khanmamedov A.

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, cilt.12, sa.2, ss.735-754, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.3934/cpaa.2013.12.735
  • Dergi Adı: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.735-754
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper, we study the long-time behaviour of solutions of Cauchy problem for the parabolic p-Laplacian equation with variable coefficients. Under the mild conditions on the coefficient of the principal part and without upper growth restriction on the source function, we prove that this problem possesses a compact and invariant global attractor in L-2 (R-n).