Citation
M. Keel et T. Tao, Small data blow-up for semilinear Klein-Gordon equations, AM J MATH, 121(3), 1999, pp. 629-669
Citations number
45
Categorie Soggetti
Mathematics
Journal title
AMERICAN JOURNAL OF MATHEMATICS
ISSN journal
00029327
→ ACNP
Volume
121
Issue
3
Year of publication
1999
Pages
629 - 669
Database
ISI
SICI code
0002-9327(199906)121:3<629:SDBFSK>2.0.ZU;2-N
Abstract
Energy heuristics predict global existence from small data for semi-linear
Klein-Gordon systems when the nonlinearity has order p > 1 + 2/n. We comple
ment these heuristics and previous rigorous existence results by demonstrat
ing blow-up from small data for p less than or equal to 1 + 2/n.