Exotic blowup solutions for the u^5 focusing wave equation in R^3

Abstract

For the energy critical focusing wave equation in three dimensions we establish the existence of blowup solutions via an "exotic" dynamical rescaling of the ground state solution W(x). The scaling law is not of the pure-power type, but rather eternally oscillates between such classes. Moreover, there is a continuum of these scaling laws.

References in corpus (1)

• Smooth type II blow up solutions to the four dimensional energy critical wave equation

Cited by in corpus (3)

• Blow-up results for semilinear wave equations in the super-conformal case
• Center-stable manifold of the ground state in the energy space for the critical wave equation
• Profile decompositions for wave equations on hyperbolic space with applications