作者：Kenig, Carlos E.; Merle, Frank
作者单位：University of Chicago; CY Cergy Paris Universite
摘要：We study the energy-critical focusing non-linear wave equation, with data in the energy space, in dimensions 3, 4 and 5. We prove that for Cauchy data of energy smaller than the one of the static solution W which gives the best constant in the Sobolev embedding, the following alternative holds. If the initial data has smaller norm in the homogeneous Sobolev space H 1 than the one of W, then we have global well-posedness and scattering. If the norm is larger than the one of W, then we have brea...
作者：Erdos, Laszlo; Salmhofer, Manfred; Yau, Horng-Tzer
作者单位：University of Munich; Max Planck Society; Leipzig University; Harvard University
作者：DiBenedetto, Emmanuele; Gianazza, Ugo; Vespri, Vincenzo
作者单位：Vanderbilt University; University of Pavia; University of Florence
