Multi‐bubble blowup of focusing energy‐critical wave equation in dimension 6

Abstract

We consider the energy‐critical focusing wave equation , and we prove the existence of infinite time blowup at the vertices of any regular polyhedron. The blowup rate of each bubble is asymptotic to as goes to , where the constants depend on the distances between the vertices. This result is an add‐on to previous constructions of blowup solutions of the energy‐critical wave equation.