Global well-posedness for the radial defocusing cubic wave equation on $R^3$ and for rough data
We prove global well-posedness for the radial defocusing cubic wave equation $$displaylines{ partial_{tt} u - Delta u = -u^{3} cr u(0,x) = u_{0}(x) cr partial_{t} u(0,x) = u_{1}(x) }$$ with data $(u_0, u_1) in H^{s} imes H^{s-1}$, $1 > s >7/10$. The proof relies upon a Morawet...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/166/abstr.html |