Thursday, December 20, 2012

1212.4718 (Roland Donninger et al.)

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

Roland Donninger, Min Huang, Joachim Krieger, Wilhelm Schlag
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.
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