Boundary control of viscosity Degasperis–Procesi equation

✍ Scribed by Lixin Tian; Qing Shi; Yue Liu

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 564 KB
• Volume: 71
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2008.10.084

✦ Synopsis

This paper investigates the boundary control problem of the viscosity Degasperis-Procesi equation in [0, 1]. Results of the existence of a solution to the viscosity Degasperis-Procesi equation in a short time interval under the boundary condition, are given in the paper. It proves the global exponential stability under the given boundary condition in L 2 , H 1 , H 2 , H 3 space.