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Asymptotics at infinity of solutions for -Laplace equations in exterior domains

✍ Scribed by Andrés I. Ávila; Friedemann Brock

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 358 KB
Volume: 69
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2007.07.003

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## 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,