Differential and Integral Equations
- Differential Integral Equations
- Volume 19, Number 9 (2006), 961-980.
Space-time $L^2$-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations
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.
Differential Integral Equations, Volume 19, Number 9 (2006), 961-980.
First available in Project Euclid: 21 December 2012
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Hidano, K.; Yokoyama, K. Space-time $L^2$-estimates and life span of the Klainerman-Machedon radial solutions to some semi-linear wave equations. Differential Integral Equations 19 (2006), no. 9, 961--980. https://projecteuclid.org/euclid.die/1356050327