𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global solutions for nonlinear wave equations with localized dissipations in exterior domains

✍ Scribed by Makoto Nakamura


Book ID
113699378
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
409 KB
Volume
252
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Energy decay for the wave equation with
✍ Jeong Ja Bae; Mitsuhiro Nakao πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 186 KB

## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain Ξ© with the boundary βˆ‚Ξ© = Ξ“~0~ βˆͺ Ξ“~1~, Ξ“~0~ ∩ Ξ“~1~ = βˆ…οΈ. We impose the homogeneous Dirichlet condition on Ξ“~0~ and a dissipative Neumann condition on

Global existence of solutions for 2-D se
✍ 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,

Decay estimates for dissipative wave equ
✍ 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