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$L^p$ estimates for the linear wave equation and global existence for semilinear wave equations in exterior domains

✍ Scribed by Mitsuhiro Nakao

Publisher
Springer
Year
2001
Tongue
English
Weight
133 KB
Volume
320
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

Decay estimates for dissipative wave equ
Decay estimates for dissipative wave equations in exterior domains
✍ Kosuke Ono πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 273 KB

Consider the initial boundary value problem for the linear dissipative wave equation ( + βˆ‚ t )u = 0 in an exterior domain Ω βŠ‚ R N . Using the so-called cut-off method together with local energy decay and L 2 decays in the whole space, we study decay estimates of the solutions. In particular, when N

Global existence of solutions for 2-D se
Global existence of solutions for 2-D semilinear wave equations with dissipation localized near infinity in an exterior domain
✍ Ryo Ikehata πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 148 KB

## 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,