Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations
Preprint Series # 655
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We consider the Cauchy problem for some semi-linear wave equations in three space dimensions and prove global or almost global existence of the Klainerman-Machedon radial solutions. The proof is carried out by a contraction-mapping argument based on a refined version of the Keel-Smith-Sogge estimate, together with the Morawetz-type inequality.
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