Abstract

We consider the nonlinear wave equation utt−Δu±u|u|4d−1=0 in dimensions d≥2. This equation is critical in H˙12×H˙−12(Rd) and subcritical with respect to the energy. We prove the nonlinear profile decomposition. The proof must address the lack of compactness due to the Lorentz symmetry.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call