Global well-posedness for the fifth-order KdV equation in H^-1(R) Bringmann, Bjoern Killip, Rowan Visan, Monica We prove global well-posedness of the fifth-order Korteweg-de Vries equation on the real line for initial data in H^-1(R). Global well-posedness in L^2(R) was shown previously in [8] using the method of commuting flows. Since this method is insensitive to the ambient geometry, it cannot go beyond the sharp L^2 threshold for the torus demonstrated in [3]. To prove our result, we introduce a new strategy that integrates dispersive effects into the method of commuting flows. Springer Nature 2021 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22038 Bringmann B, Killip R, Vişan M. Global well-posedness for the fifth-order KdV equation in H^-1(R). <i>Annals of PDE</i>. 2021;7(2). doi:<a href="https://doi.org/10.1007/s40818-021-00111-4">10.1007/s40818-021-00111-4</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s40818-021-00111-4 info:eu-repo/semantics/altIdentifier/issn/2524-5317 info:eu-repo/semantics/altIdentifier/e-issn/2199-2576 info:eu-repo/semantics/altIdentifier/arxiv/1912.01536 info:eu-repo/semantics/openAccess