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Small data blow-up for semilinear Klein-Gordon equations

Markus Keel, Terence Tao

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Source: Crossref

Published: Jun 1, 1999

DOI: 10.1353/ajm.1999.0021

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Source 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.

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Small data blow-up for semilinear Klein-Gordon equations — Mathematical Frontier Network