Global well-posedness for the radial defocusing cubic wave equation on $\mathbb{R}^{3}$ and for rough data

arxiv: 0708.2299 · v5 · pith:BSWLCDQ7new · submitted 2007-08-17 · 🧮 math.AP · math-ph· math.MP

Global well-posedness for the radial defocusing cubic wave equation on mathbb{R}³ and for rough data

Tristan Roy This is my paper

classification 🧮 math.AP math-phmath.MP

keywords cubicdatadefocusingequationglobalradialwavewell-posedness

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We prove global well-posedness for the $3D$ radial defocusing cubic wave equation with data in $H^{s} \times H^{s-1}$, $1>s>{7/10}$.

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