On the Cauchy problem for the periodic b-family of equations and of the non-uniform continuity of Degasperis-Procesi equation

Christov O., HAKKAEV S. A.

Journal of Mathematical Analysis and Applications, cilt.360, sa.1, ss.47-56, 2009 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 360 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.jmaa.2009.06.035
  • Dergi Adı: Journal of Mathematical Analysis and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.47-56
  • Anahtar Kelimeler: Blow-up, Camassa-Holm equation, Uniform continuity
  • Trakya Üniversitesi Adresli: Hayır

Özet

We consider the problem of the existence of the global solutions and formation of singularities for a b-family of equations which includes the Camassa-Holm and Degasperis-Procesi equation. We also consider the problem of the uniformly continuity of Degasperis-Procesi equation. © 2009 Elsevier Inc. All rights reserved.