The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions Killip, Rowan Visan, Monica We consider the defocusing nonlinear wave equation utt − Δu + |u| pu = 0 with spherically-symmetric initial data in the regime 4 d−2 <p< 4 d−3 (which is energy-supercritical) and dimensions 3 ≤ d ≤ 6; we also consider d ≥ 7, but for a smaller range of p> 4 d−2 . The principal result is that blowup (or failure to scatter) must be accompanied by blowup of the critical Sobolev norm. An equivalent formulation is that maximal-lifespan solutions with bounded critical Sobolev norm are global and scatter American Mathematical Society 2011 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22061 Killip R, Vişan M. The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions. <i>Proceedings of the American Mathematical Society</i>. 2011;139(5):1805-1817. doi:<a href="https://doi.org/10.1090/s0002-9939-2010-10615-9">10.1090/s0002-9939-2010-10615-9</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1090/s0002-9939-2010-10615-9 info:eu-repo/semantics/altIdentifier/issn/0002-9939 info:eu-repo/semantics/altIdentifier/e-issn/1088-6826 info:eu-repo/semantics/altIdentifier/arxiv/1002.1756 info:eu-repo/semantics/openAccess