Soliton resolution along a sequence of times for the focusing energy   critical wave equation
  In this paper, we prove the soliton resolution conjecture for general type II solutions to the focusing energy critical wave equation, in space dimension 3,4 or 5, along a sequence of times. This is an important step towards the full soliton resolution in the nonradial case and without any size restrictions. This paper is an extension of the arXiv preprint 1510:00075 by the second author, where the finite time blow-up case is treated, with an error converging to zero in a weaker sense. 
Thomas Duyckaerts and Hao Jia and Carlos Kenig and Frank Merle
math.AP