Global existence of solutions for 2-D semilinear wave equations with dissipation localized near infinity in an exterior domain

✍ Scribed by Ryo Ikehata

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 148 KB
• Volume: 29
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.698

✦ Synopsis

Abstract

We shall derive some global existence results to semilinear wave equations with a damping coefficient localized near infinity for very special initial data in H×L^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result, a power p on the non‐linear term |u|^p^ is strictly larger than the two‐dimensional Fujita‐exponent. Copyright © 2005 John Wiley & Sons, Ltd.