Roy, Tristan2021-08-182021-08-182007-11-30Roy, T. (2007). Global well-posedness for the radial defocusing cubic wave equation on R3 and for rough data. <i>Electronic Journal of Differential Equations, 2007</i>(166), pp. 1-22.1072-6691https://hdl.handle.net/10877/14380We prove global well-posedness for the radial defocusing cubic wave equation ∂ttu - Δu = -u3 u(0, x) = u0(x) ∂tu(0, x) = u1(x) with data (u0, u1) ∈ Hs x Hs-1, 1 > s > 7/10. The proof relies upon a Morawetz-Strauss-type inequality that allows us to control the growth of an almost conserved quantity.Text22 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear Schrödinger equationWell-posednessArticle