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Small data blow-up for semilinear Klein-Gordon equations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 121, Number 3, June 1999
- pp. 629-669
- 10.1353/ajm.1999.0021
- Article
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Energy heuristics predict global existence from small data for semi-linear Klein-Gordon systems when the nonlinearity has order p > 1 + 2/n. We complement these heuristics and previous rigorous existence results by demonstrating blow-up from small data for p ≤ 1 + 2/n.