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Global existence of weak solutions for two-dimensional semilinear wave equations with strong damping in an exterior domain

✍ Scribed by Ryo Ikehata; Yu-ki Inoue

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
312 KB
Volume
68
Category
Article
ISSN
0362-546X

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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__Γ—__L__^2^. This problem is dealt with in the two‐dimensional exterior domain with a star‐shaped complement. In our result,