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Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations

Preprint Series # 655
Hidano, Kunio and Yokoyama, Kazuyoshi Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations. (2004);

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Abstract

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.

Item Type:Preprint
Additional Information:Ver.2 of #655. No copies needed.
Uncontrolled Keywords:semi-linear wave equations,low-regularity,life-span
Subjects:35-xx PARTIAL DIFFERENTIAL EQUATIONS
ID Code:976

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  • Space-time L^2-estimates and life-span of the Klainerman-Machedon radial solutions to some semi-linear wave equations. (deposited 14 Jun 2005) [Currently Displayed]