The Glassey conjecture for nontrapping obstacles
Analysis of PDEs
2015-02-13 v3
Abstract
We verify the three-dimensional Glassey conjecture for exterior domain (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 obstacles and small asymptotically Euclidean metric, as well as the nontrapping asymptotically Euclidean manifolds (R^n, g).
Cite
@article{arxiv.1312.7433,
title = {The Glassey conjecture for nontrapping obstacles},
author = {Chengbo Wang},
journal= {arXiv preprint arXiv:1312.7433},
year = {2015}
}
Comments
Final version, to appear in Journal of Differential Equations. 18 pages. Typos fixed, presentation polished and references added/updated