Small data blow-up for semilinear Klein-Gordon equations

Markus Keel, Terence Tao

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

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 complement these heuristics and previous rigorous existence results by demonstrating blow-up from small data for p ≤ 1 + 2/n.

Original languageEnglish (US)
Pages (from-to)629-669
Number of pages41
JournalAmerican Journal of Mathematics
Volume121
Issue number3
DOIs
StatePublished - Jun 1999

Bibliographical note

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