Microlocal compactness wave fronts in Sobolev spaces
摘要
We introduce classes of microlocal compactness wave front variants. In some sense, they measure how far a sequence bounded in a Sobolev space is from being relatively compact in that space. We distinguish local and nonlocal variants. In applications, we give their basic properties and also a connection with H-measures introduced independently by Luc Tartar and Patrick Gérard.