Krieger, JoachimNakanishi, K.Schlag, W.2012-04-052012-04-052012-04-05201310.3934/dcds.2013.33.2423https://infoscience.epfl.ch/handle/20.500.14299/79178WOS:000313566600010In this paper we establish the existence of certain classes of solutions to the energy critical nonlinear wave equation in dimensions 3 and 5 assuming that the energy exceeds the ground state energy only by a small amount. No radial assumption is made. We find that there exist four sets in H(over dot) x L-2 with nonempty interiors which correspond to all possible combinations of finite-time blowup on the one hand, and global existence and scattering to a free wave, on the other hand, as t -> +/-infinity.Critical wave equationblowupscatteringstabilityinvariant manifoldtext::journal::journal article::research article