Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609649 | Journal of Differential Equations | 2015 | 21 Pages |
Abstract
We verify the 3-dimensional Glassey conjecture for exterior domain (M,g)(M,g), where the metric g is asymptotically Euclidean, provided that certain local energy assumption is satisfied. The radial Glassey conjecture exterior to a ball is also verified for dimension three or higher. The local energy assumption is satisfied for many important cases, including exterior domain with nontrapping obstacles and flat metric, exterior domain with star-shaped obstacle and small asymptotically Euclidean metric, as well as the nontrapping asymptotically Euclidean manifolds (Rn,g)(Rn,g).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Chengbo Wang,