On a Model Connected with the Kirchhoff Equation

✍ Scribed by Fabio Catalano

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 144 KB
• Volume: 267
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7774

✦ Synopsis

We prove a global existence result in suitable Sobolev spaces for the solution of the nonlinear Cauchy problem

where n > 3 is the space dimension, the initial data are C ∞ with compact support in R n , and K z is a positive smooth function rapidly decreasing as z → ∞. Our approach is based on the energy estimates combined with the classical Von Wahl inequalities.  2002 Elsevier Science (USA)