Dynamical systems method (DSM) for nonlinear equations in Banach spaces

✍ Scribed by A.G. Ramm

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 116 KB
• Volume: 11
• Category: Article
• ISSN: 1007-5704
• DOI: 10.1016/j.cnsns.2004.12.004

✦ Synopsis

The DSM (dynamical systems method) is justified for nonlinear operator equations in a Banach space. The main assumption is on the spectral properties of the Fre `chet derivative of the operator at a suitable point. A singular perturbation problem related to the original equation is studied.