Benjamin–Ono Equation with Unbounded Data

✍ Scribed by Germán Fonseca; Felipe Linares

• Book ID: 102598041
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 149 KB
• Volume: 247
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.6840

✦ Synopsis

The initial value problem IVP for the Benjamin᎐Ono equation with unbounded initial data is considered. We show existence and uniqueness of global solutions for sublinear growth data. The method of proof relies in an appropriate splitting, the study of an IVP associated with a Benjamin᎐Ono type equation with variable coefficients and the persistence of decay for solutions of the Burgers equation.